diff --git a/amlb/runners/docker.py b/amlb/runners/docker.py
index d74c9c51d..4630f23d1 100644
--- a/amlb/runners/docker.py
+++ b/amlb/runners/docker.py
@@ -48,7 +48,7 @@ def _script(self):
         return os.path.join(self._framework_dir, _setup_dir_, "Dockerfile")
 
     def _start_container(self, script_params=""):
-        """Implementes the container run method"""
+        """Invokes the container run method"""
         in_dir = rconfig().input_dir
         out_dir = rconfig().output_dir
         custom_dir = rconfig().user_dir
@@ -60,7 +60,7 @@ def _start_container(self, script_params=""):
         inst_name = f"{self.sid}.{str_sanitize(str_digest(script_params))}"
         cmd = (
             "docker run --name {name} {options} {run_as} "
-            "-v {input}:/input -v {output}:/output -v {custom}:/custom "
+            "-v '{input}':/input -v '{output}':/output -v '{custom}':/custom "
             "--rm {image} {params} -i /input -o /output -u /custom -s skip -Xrun_mode=docker {extra_params}"
         ).format(
             name=inst_name,
diff --git a/amlb/runners/singularity.py b/amlb/runners/singularity.py
index 1190aac12..1f51afd6f 100644
--- a/amlb/runners/singularity.py
+++ b/amlb/runners/singularity.py
@@ -68,7 +68,7 @@ def _script(self):
         return os.path.join(self._framework_dir, _setup_dir_, "Singularityfile")
 
     def _start_container(self, script_params=""):
-        """Implementes the container run method"""
+        """Invokes the container run method"""
         in_dir = rconfig().input_dir
         out_dir = rconfig().output_dir
         custom_dir = rconfig().user_dir
@@ -77,7 +77,7 @@ def _start_container(self, script_params=""):
         script_extra_params = "--session="  # in combination with `self.output_dirs.session` usage below to prevent creation of 2 sessions locally
         cmd = (
             "singularity run --pwd /bench {options} "
-            "-B {input}:/input -B {output}:/output -B {custom}:/custom "
+            "-B '{input}':/input -B '{output}':/output -B '{custom}':/custom "
             '{image} "{params} -i /input -o /output -u /custom -s skip -Xrun_mode=singularity {extra_params}"'
         ).format(
             options=rconfig().singularity.run_extra_options,