diff --git a/bash_completion b/bash_completion
index b13becc2e71..d36fbb7d7c1 100644
--- a/bash_completion
+++ b/bash_completion
@@ -2765,28 +2765,71 @@ _comp_command_offset()
                     #     *something* for every command thrown at it ($cspec != empty)
                     _comp_complete_minimal "${args[@]}"
                 fi
-            elif [[ $cspec == *' -F '* ]]; then
-                # complete -F <function>
-
-                # get function name
-                local func=${cspec#* -F }
-                func=${func%% *}
-                $func "${args[@]}"
-
-                # restart completion (once) if function exited with 124
-                if (($? == 124 && retry_count++ == 0)); then
-                    # Note: When the completion function returns 124, the state
-                    # of COMPREPLY is discarded.
-                    COMPREPLY=()
+            elif [[ $cspec == *\ -[CF]\ * ]]; then
+                if [[ $cspec == *' -F '* ]]; then
+                    # complete -F <function>
+
+                    # get function name
+                    local func=${cspec#* -F }
+                    func=${func%% *}
+                    $func "${args[@]}"
+
+                    # restart completion (once) if function exited with 124
+                    if (($? == 124 && retry_count++ == 0)); then
+                        # Note: When the completion function returns 124, the
+                        # state of COMPREPLY is discarded.
+                        COMPREPLY=()
+
+                        cspec=$(complete -p "$compcmd" 2>/dev/null)
+
+                        # Note: When completion spec is removed after 124, we
+                        # do not generate any completions including the default
+                        # ones. This is the behavior of the original Bash
+                        # progcomp.
+                        [[ $cspec ]] || break
+
+                        continue
+                    fi
+                else
+                    # complete -C <command>
 
-                    cspec=$(complete -p "$compcmd" 2>/dev/null)
+                    # get command name
+                    local completer=${cspec#* -C \'}
 
-                    # Note: When completion spec is removed after 124, we do
-                    # not generate any completions including the default ones.
-                    # This is the behavior of the original Bash progcomp.
-                    [[ $cspec ]] || break
+                    # completer commands are always single-quoted
+                    if ! _comp_dequote "'$completer"; then
+                        _minimal "${args[@]}"
+                        break
+                    fi
+                    completer=${REPLY[0]}
+
+                    local -a suggestions
+
+                    local IFS=$' \t\n'
+                    local reset_monitor=$(shopt -po monitor) reset_lastpipe=$(shopt -p lastpipe) reset_noglob=$(shopt -po noglob)
+                    set +o monitor
+                    shopt -s lastpipe
+                    set -o noglob
+
+                    COMP_KEY="$COMP_KEY" COMP_LINE="$COMP_LINE" \
+                        COMP_POINT="$COMP_POINT" COMP_TYPE="$COMP_TYPE" \
+                        $completer "${args[@]}" | mapfile -t suggestions
 
-                    continue
+                    $reset_monitor
+                    $reset_lastpipe
+                    $reset_noglob
+                    _comp_unlocal IFS
+
+                    local suggestion
+                    local i=0
+                    COMPREPLY=()
+                    for suggestion in "${suggestions[@]}"; do
+                        COMPREPLY[i]+=${COMPREPLY[i]+$'\n'}$suggestion
+
+                        if [[ $suggestion != *\\ ]]; then
+                            ((i++))
+                        fi
+                    done
                 fi
 
                 # restore initial compopts
diff --git a/test/fixtures/_command_offset/completer b/test/fixtures/_command_offset/completer
new file mode 100755
index 00000000000..8253e6d2ce2
--- /dev/null
+++ b/test/fixtures/_command_offset/completer
@@ -0,0 +1,30 @@
+#!/bin/sh
+
+case "${2-}" in
+    b|ba|bar)
+        echo bar
+        ;;
+    cont1*)
+        echo cont10
+        echo cont11\\
+        ;;
+    f|fo|foo)
+        echo foo
+        ;;
+    l)
+        echo line\\
+        echo two
+        echo long
+        ;;
+    li*)
+        echo line\\
+        echo two
+        ;;
+    lo*)
+        echo long
+        ;;
+    *)
+        echo bar
+        echo foo
+        ;;
+esac
diff --git a/test/t/unit/test_unit_command_offset.py b/test/t/unit/test_unit_command_offset.py
index 94636dd7f8b..0e32c1f8076 100644
--- a/test/t/unit/test_unit_command_offset.py
+++ b/test/t/unit/test_unit_command_offset.py
@@ -12,7 +12,8 @@ def join(words):
 
 @pytest.mark.bashcomp(
     cmd=None,
-    ignore_env=r"^[+-]COMPREPLY=",
+    cwd="_command_offset",
+    ignore_env=r"^[+-](COMPREPLY|REPLY)=",
 )
 class TestUnitCommandOffset:
     wordlist = sorted(["foo", "bar"])
@@ -45,6 +46,8 @@ def functions(self, bash):
         )
         assert_bash_exec(bash, 'complete -W \'"$word1" "$word2"\' cmd6')
 
+        assert_bash_exec(bash, "complete -C ./completer cmd7")
+
     def test_1(self, bash, functions):
         assert_complete(bash, 'cmd1 "/tmp/aaa bbb" ')
         assert_bash_exec(bash, "! complete -p aaa", want_output=None)
@@ -78,6 +81,21 @@ def test_2(self, bash, functions, cmd, expected_completion):
         """
         assert assert_complete(bash, "meta %s " % cmd) == expected_completion
 
+    @pytest.mark.parametrize(
+        "cmd,expected_completion",
+        [
+            ("cmd7 ", wordlist),
+            ("cmd7 l", ["line\\^Jtwo", "long"]),
+            ("cmd7 lo", ["ng"]),
+            ("cmd7 line", ["\\^Jtwo"]),
+            ("cmd7 cont1", ["cont10", "cont11\\"]),
+        ],
+    )
+    def test_3(self, bash, functions, cmd, expected_completion):
+        got = assert_complete(bash, f"cmd1 {cmd}")
+        assert got == assert_complete(bash, cmd)
+        assert got == expected_completion
+
     def test_cmd_quoted(self, bash, functions):
         assert assert_complete(bash, "meta 'cmd2' ") == self.wordlist