diff --git a/.gitignore b/.gitignore
index 2c019b0..9ee2a81 100644
--- a/.gitignore
+++ b/.gitignore
@@ -3,3 +3,4 @@
 /databases-0.5.1.tar.gz
 /databases-0.5.2.tar.gz
 /databases-0.5.3.tar.gz
+/databases-0.5.5.tar.gz
diff --git a/databases-0.5.5-pr-470.patch b/databases-0.5.5-pr-470.patch
new file mode 100644
index 0000000..249e8c3
--- /dev/null
+++ b/databases-0.5.5-pr-470.patch
@@ -0,0 +1,12 @@
+diff -Naur databases-0.5.5-original/setup.py databases-0.5.5/setup.py
+--- databases-0.5.5-original/setup.py	2022-01-20 16:14:37.000000000 -0500
++++ databases-0.5.5/setup.py	2022-03-03 10:50:57.176276169 -0500
+@@ -47,7 +47,7 @@
+     author_email="tom@tomchristie.com",
+     packages=get_packages("databases"),
+     package_data={"databases": ["py.typed"]},
+-    install_requires=["sqlalchemy>=1.4,<1.5", 'aiocontextvars;python_version<"3.7"'],
++    install_requires=["sqlalchemy[asyncio]>=1.4,<1.5", 'aiocontextvars;python_version<"3.7"'],
+     extras_require={
+         "postgresql": ["asyncpg"],
+         "mysql": ["aiomysql"],
diff --git a/python-databases.spec b/python-databases.spec
index 05ce846..00a9907 100644
--- a/python-databases.spec
+++ b/python-databases.spec
@@ -1,17 +1,27 @@
-%global forgeurl https://github.com/encode/databases
-
 # When bootstrapping, break circular dependency on starlette in the tests.
 %bcond_with bootstrap
 
+# MySQL tests require interacting with a temporary MySQL database. We are able
+# to do this, but leave a build conditional in case it breaks.
+%bcond_without mysql_tests
+
 Name:           python-databases
 Summary:        Async database support for Python
-Version:        0.5.3
+Version:        0.5.5
 Release:        %autorelease
 
 License:        BSD
 URL:            https://www.encode.io/databases/
+%global forgeurl https://github.com/encode/databases
 Source0:        %{forgeurl}/archive/%{version}/databases-%{version}.tar.gz
 
+# Dependency on sqlalchemy should include asyncio extra
+# https://github.com/encode/databases/issues/469
+# Depend on sqlalchemy[asyncio] instead of just sqlalchemy
+# https://github.com/encode/databases/pull/470
+# (rebased to 0.5.5)
+Patch0:         databases-0.5.5-pr-470.patch
+
 BuildArch:      noarch
 
 BuildRequires:  python3-devel
@@ -33,11 +43,10 @@ BuildRequires:  python3dist(starlette)
 # Used only as a soft dependency of starlette
 BuildRequires:  python3dist(requests)
 %endif
-# Work around RHBZ#2012590, in which python3-sqlalchemy fails to depend on
-# python3-greenlet on some architectures, by adding a direct dependency.
-BuildRequires:  python3dist(greenlet)
 
-Obsoletes:      python-databases-doc < 0.5.2-4
+%if %{with mysql_tests}
+BuildRequires:  mariadb-server
+%endif
 
 %global common_description %{expand:
 Databases gives you simple asyncio support for a range of databases.
@@ -77,23 +86,25 @@ Recommends:     python3dist(psycopg2)
 
 %description -n python3-databases+postgresql
 This is a metapackage bringing in postgresql extras requires for
-python3-databases.
-It makes sure the dependencies are installed.
+python3-databases. It makes sure the dependencies are installed.
 
 %files -n python3-databases+postgresql -f %{_pyproject_ghost_distinfo}
 
 
-%package -n python3-databases+mysql
-Summary: Metapackage for python3-databases: mysql extras
+%package -n python3-databases+mysql_asyncmy
+Summary:        Metapackage for python3-databases: mysql_asyncmy extras
 Recommends:     python3dist(pymysql)
 
 Requires: python3-databases = %{version}-%{release}
+# pymysql tests only work with pymysql<=1.0
+# https://github.com/encode/databases/issues/330
+Obsoletes:      python3-databases+mysql < 0.5.5-1
 
-%description -n python3-databases+mysql
-This is a metapackage bringing in mysql extras requires for python3-databases.
-It makes sure the dependencies are installed.
+%description -n python3-databases+mysql_asyncmy
+This is a metapackage bringing in mysql_asyncmy extras requires for
+python3-databases. It makes sure the dependencies are installed.
 
-%files -n python3-databases+mysql -f %{_pyproject_ghost_distinfo}
+%files -n python3-databases+mysql_asyncmy -f %{_pyproject_ghost_distinfo}
 
 
 %package -n python3-databases+postgresql_aiopg
@@ -104,8 +115,7 @@ Recommends:     python3dist(psycopg2)
 
 %description -n python3-databases+postgresql_aiopg
 This is a metapackage bringing in postgresql_aiopg extras requires for
-python3-databases.
-It makes sure the dependencies are installed.
+python3-databases. It makes sure the dependencies are installed.
 
 %files -n python3-databases+postgresql_aiopg -f %{_pyproject_ghost_distinfo}
 
@@ -113,33 +123,17 @@ It makes sure the dependencies are installed.
 %package -n     python3-databases
 Summary:        %{summary}
 
-# Work around RHBZ#2012590, in which python3-sqlalchemy fails to depend on
-# python3-greenlet on some architectures, by adding a direct dependency.
-Requires:       python3dist(greenlet)
+Obsoletes:      python-databases-doc < 0.5.2-4
 
 %description -n python3-databases %{common_description}
 
 
 %prep
-%autosetup -n databases-%{version}
-# The following is equivalent to the former patch file
-# databases-0.4.3-wayward-license-file.patch, but the sed expression works
-# regardless of whether databases-pr-299-40c41c2b.patch has affected nearby
-# lines or not.
-#
-# Without this patch, the LICENSE.md file is installed under the prefix
-# (generally, /usr/local or /usr), or when installed into a virtualenv, in the
-# root of the virtualenv directory. Neither is correct.
-#
-# Upstream doesn’t want bug reports or PR’s in general
-# (https://github.com/encode/.github/blob/
-#  e018bb630a92efd4609c2b60955e9c4678cd6c11/CONTRIBUTING.md),
-# so I raised the issue in the Gitter chat on 2021-04-26.
-sed -i -r '/data_files=\[\("", \["LICENSE.md"\]\)\],/d' setup.py
+%autosetup -n databases-%{version} -p1
 
 
 %generate_buildrequires
-%pyproject_buildrequires -x postgresql,mysql,sqlite,postgresql_aiopg
+%pyproject_buildrequires -x postgresql,mysql_asyncmy,sqlite,postgresql_aiopg
 
 
 %build
@@ -164,7 +158,62 @@ touch tests/__init__.py
 # user. The following environment variable is a comma-separated list.
 export TEST_DATABASE_URLS="sqlite:///testsuite, sqlite+aiosqlite:///testsuite"
 
-%pytest
+%if %{with mysql_tests}
+# Based on rubygem-mysql2 packaging; see also python-asyncmy
+
+# Use a randomized port in case the standard mysqld port 3306 is occupied, and
+# to account for multiple simultaneous builds on the same host.
+# https://src.fedoraproject.org/rpms/rubygem-pg/pull-request/3
+MYSQL_PORT="$((13306 + ${RANDOM} % 1000))"
+MYSQL_USER="$(whoami)"
+MYSQL_DATA_DIR="${PWD}/data"
+MYSQL_SOCKET="${PWD}/mysql.sock"
+MYSQL_LOG="${PWD}/mysql.log"
+MYSQL_PID_FILE="${PWD}/mysql.pid"
+
+mkdir "${MYSQL_DATA_DIR}"
+mysql_install_db --datadir="${MYSQL_DATA_DIR}" --log-error="${MYSQL_LOG}"
+
+%{_libexecdir}/mysqld --port="${MYSQL_PORT}" --ssl \
+    --datadir="${MYSQL_DATA_DIR}" --log-error="${MYSQL_LOG}" \
+    --socket="${MYSQL_SOCKET}" --pid-file="${MYSQL_PID_FILE}" & :
+
+echo "Waiting for server… ${i}" 1>&2
+TIMEOUT=30
+while ! grep -q 'ready for connections.' "${MYSQL_LOG}"
+do
+  sleep 1
+  TIMEOUT=$((TIMEOUT - 1))
+  if [[ "${TIMEOUT}" = '0' ]]
+  then
+    echo 'Timed out' 1>&2
+    exit 1
+  fi
+done
+
+echo 'Ready' 1>&2
+trap "kill $(cat "${MYSQL_PID_FILE}")" INT TERM EXIT
+
+# See https://github.com/brianmario/mysql2/blob/master/.travis_setup.sh
+mysql -u "${MYSQL_USER}" -S "${MYSQL_SOCKET}" -P "${MYSQL_PORT}" \
+  -e "ALTER USER 'root'@'localhost' IDENTIFIED BY '123456';"
+mysql -u 'root' --password='123456' \
+  --protocol='TCP' -h 'localhost' -P "${MYSQL_PORT}" \
+  -e 'CREATE DATABASE testsuite;'
+
+for url in \
+    "mysql://root:123456@localhost:${MYSQL_PORT}/testsuite" \
+    "mysql+asyncmy://root:123456@localhost:${MYSQL_PORT}/testsuite"
+do
+  export TEST_DATABASE_URLS="${TEST_DATABASE_URLS}, ${url}"
+done
+%endif
+
+%pytest --verbose
+
+# Since we can’t test all backends, at least do an import “smoke test,” but
+# note that the “mysql” extra/backend is not supported, so we must exclude it.
+%pyproject_check_import -e 'databases.backends.mysql'
 
 
 %files -n python3-databases -f %{pyproject_files}
diff --git a/sources b/sources
index 2de5dfc..7e7e663 100644
--- a/sources
+++ b/sources
@@ -1 +1 @@
-SHA512 (databases-0.5.3.tar.gz) = bd0c4f1bf0f81e017ea55e41a6d4821ee17e0f995b600a50955fba68841443147dd234534b9c72d753b99785a5a08ac6e3d839894ec4760c602372cccbd4c1c0
+SHA512 (databases-0.5.5.tar.gz) = 6a7ecd47d594a9404fa4216913819a8be777090254185ef8b970251ef9bf11452a16d22311fd19f63f4788bf45f6f8831c99ca31bcaacd6c40884fad4a250fd0