diff --git a/README.rst b/README.rst
index 39f0e2f..8951b7f 100644
--- a/README.rst
+++ b/README.rst
@@ -778,6 +778,7 @@ All available options:
   Udev-Rules                           file with rules to install to udev
   Python2-Depends-Name                 override Python 2 Debian package name in
                                        ${python:Depends}
+  Dh-python3-params                    parameters passed to dh_python3
 ====================================== =========================================
 
 The option names in stdeb.cfg files are not case sensitive.
diff --git a/stdeb/util.py b/stdeb/util.py
index 549436e..d9e1cb3 100644
--- a/stdeb/util.py
+++ b/stdeb/util.py
@@ -199,6 +199,7 @@ def check_call(*popenargs, **kwargs):
     ('udev-rules=', None, 'file with rules to install to udev'),
     ('python2-depends-name=', None,
      'Python 2 Debian package name used in ${python:Depends}'),
+    ('dh-python3-params=', None, 'parameters passed to dh_python3'),
     ]
 
 stdeb_cmd_bool_opts = [
@@ -1011,6 +1012,8 @@ def __init__(self,
             self.dh_binary_arch_lines = '\tdh binary-arch'
         self.dh_binary_indep_lines = '\tdh binary-indep'
 
+        dh_python3_params = parse_val(cfg, module_name, 'dh-python3-params')
+
         conflicts = parse_vals(cfg, module_name, 'Conflicts')
         conflicts3 = parse_vals(cfg, module_name, 'Conflicts3')
         breaks = parse_vals(cfg, module_name, 'Breaks')
@@ -1198,6 +1201,7 @@ def __init__(self,
             'scripts': scripts
         }
 
+        scripts = ''
         if force_x_python3_version and with_python3 and x_python3_version and \
                 x_python3_version[0]:
             # override dh_python3 target to modify the dependencies
@@ -1205,11 +1209,14 @@ def __init__(self,
             version = x_python3_version[0]
             if not version.endswith('~'):
                 version += '~'
-            self.override_dh_python3 = RULES_OVERRIDE_PYTHON3 % {
-                'scripts': (
+                scripts = (
                     '        sed -i ' +
                     r'"s/\([ =]python3:any (\)>= [^)]*\()\)/\\1%s\\2/g" ' +
                     'debian/%s.substvars') % (version, self.package3)
+        if len(scripts) or len(dh_python3_params):
+            self.override_dh_python3 = RULES_OVERRIDE_PYTHON3 % {
+                'scripts': scripts,
+                'dh_python3_params': dh_python3_params,
             }
         else:
             self.override_dh_python3 = ''
@@ -1673,7 +1680,7 @@ def build_dsc(debinfo,
 """
 RULES_OVERRIDE_PYTHON3 = """
 override_dh_python3:
-        dh_python3
+        dh_python3 %(dh_python3_params)s
 %(scripts)s
 """