diff --git a/misc/requirements/requirements-pyqt-5.txt b/misc/requirements/requirements-pyqt-5.txt
new file mode 100644
index 000000000..1641b4fcd
--- /dev/null
+++ b/misc/requirements/requirements-pyqt-5.txt
@@ -0,0 +1,7 @@
+# This file is automatically generated by scripts/dev/recompile_requirements.py
+
+PyQt5==5.15.6
+PyQt5-Qt5==5.15.2
+PyQt5-sip==12.10.1
+PyQtWebEngine==5.15.5
+PyQtWebEngine-Qt5==5.15.2
diff --git a/misc/requirements/requirements-pyqt-5.txt-raw b/misc/requirements/requirements-pyqt-5.txt-raw
new file mode 100644
index 000000000..9c6afbf16
--- /dev/null
+++ b/misc/requirements/requirements-pyqt-5.txt-raw
@@ -0,0 +1,2 @@
+PyQt5
+PyQtWebEngine
diff --git a/misc/requirements/requirements-pyqt-6.txt b/misc/requirements/requirements-pyqt-6.txt
new file mode 100644
index 000000000..3b8b564e4
--- /dev/null
+++ b/misc/requirements/requirements-pyqt-6.txt
@@ -0,0 +1,7 @@
+# This file is automatically generated by scripts/dev/recompile_requirements.py
+
+PyQt6==6.3.0
+PyQt6-Qt6==6.3.0
+PyQt6-sip==13.3.1
+PyQt6-WebEngine==6.3.0
+PyQt6-WebEngine-Qt6==6.3.0
diff --git a/misc/requirements/requirements-pyqt-6.txt-raw b/misc/requirements/requirements-pyqt-6.txt-raw
new file mode 100644
index 000000000..68a5db685
--- /dev/null
+++ b/misc/requirements/requirements-pyqt-6.txt-raw
@@ -0,0 +1,4 @@
+PyQt6
+PyQt6-Qt6
+PyQt6-WebEngine
+PyQt6-WebEngine-Qt6
diff --git a/scripts/link_pyqt.py b/scripts/link_pyqt.py
index 0ec7f2556..54c317cb6 100644
--- a/scripts/link_pyqt.py
+++ b/scripts/link_pyqt.py
@@ -126,15 +126,19 @@ def get_lib_path(executable, name, required=True):
         raise ValueError("Unexpected output: {!r}".format(output))
 
 
-def link_pyqt(executable, venv_path):
+def link_pyqt(executable, venv_path, *, version='5'):
     """Symlink the systemwide PyQt/sip into the venv.
 
     Args:
         executable: The python executable where the source files are present.
         venv_path: The path to the virtualenv site-packages.
+        version: The PyQt version to use.
     """
+    if version not in ["5", "6"]:
+        raise ValueError(f"Invalid version {version}")
+
     try:
-        get_lib_path(executable, 'PyQt5.sip')
+        get_lib_path(executable, f'PyQt{version}.sip')
     except Error:
         # There is no PyQt5.sip, so we need to copy the toplevel sip.
         sip_file = get_lib_path(executable, 'sip')
@@ -143,7 +147,7 @@ def link_pyqt(executable, venv_path):
         sip_file = None
 
     sipconfig_file = get_lib_path(executable, 'sipconfig', required=False)
-    pyqt_dir = os.path.dirname(get_lib_path(executable, 'PyQt5.QtCore'))
+    pyqt_dir = os.path.dirname(get_lib_path(executable, f'PyQt{version}.QtCore'))
 
     for path in [sip_file, sipconfig_file, pyqt_dir]:
         if path is None:
diff --git a/scripts/mkvenv.py b/scripts/mkvenv.py
index eecb0d792..5f4fe16c4 100755
--- a/scripts/mkvenv.py
+++ b/scripts/mkvenv.py
@@ -263,11 +263,11 @@ def install_pyqt_source(venv_dir: pathlib.Path, version: str) -> None:
                 '--verbose', '--no-binary', ','.join(PYQT_PACKAGES))
 
 
-def install_pyqt_link(venv_dir: pathlib.Path) -> None:
+def install_pyqt_link(venv_dir: pathlib.Path, version: str) -> None:
     """Install PyQt by linking a system-wide install."""
     utils.print_title("Linking system-wide PyQt")
     lib_path = link_pyqt.get_venv_lib_path(str(venv_dir))
-    link_pyqt.link_pyqt(sys.executable, lib_path)
+    link_pyqt.link_pyqt(sys.executable, lib_path, version=version)
 
 
 def install_pyqt_wheels(venv_dir: pathlib.Path,
@@ -463,7 +463,7 @@ def install_pyqt(venv_dir, args):
     elif args.pyqt_type == 'source':
         install_pyqt_source(venv_dir, args.pyqt_version)
     elif args.pyqt_type == 'link':
-        install_pyqt_link(venv_dir)
+        install_pyqt_link(venv_dir, args.pyqt_version)
     elif args.pyqt_type == 'wheels':
         wheels_dir = pathlib.Path(args.pyqt_wheels_dir)
         install_pyqt_wheels(venv_dir, wheels_dir)
@@ -479,9 +479,12 @@ def run(args) -> None:
     utils.change_cwd()
 
     if (args.pyqt_version != 'auto' and
-            args.pyqt_type not in ['binary', 'source']):
+            args.pyqt_type not in ['binary', 'source', 'link']):
         raise Error('The --pyqt-version option is only available when installing PyQt '
-                    'from binary or source')
+                    'from binary, source, or linking it')
+    elif args.pyqt_type == 'link' and args.pyqt_version not in ['auto', '5', '6']:
+        raise Error('Invalid --pyqt-version {args.pyqt_version}, only 5 or 6 '
+                    'permitted with --pyqt-type=link')
 
     if args.pyqt_wheels_dir != 'wheels' and args.pyqt_type != 'wheels':
         raise Error('The --pyqt-wheels-dir option is only available when installing '