diff --git a/alive_progress/core/configuration.py b/alive_progress/core/configuration.py
index f7cd613..8a96a4b 100644
--- a/alive_progress/core/configuration.py
+++ b/alive_progress/core/configuration.py
@@ -137,7 +137,7 @@ def _input(x):
 
 
 Config = namedtuple('Config', 'title length max_cols spinner bar unknown force_tty disable manual '
-                              'enrich_print receipt receipt_text monitor elapsed stats '
+                              'enrich_print enrich_offset receipt receipt_text monitor elapsed stats '
                               'title_length spinner_length refresh_secs monitor_end elapsed_end '
                               'stats_end ctrl_c dual_line unit scale precision file')
 
@@ -155,6 +155,7 @@ def reset():
             disable=False,
             manual=False,
             enrich_print=True,
+            enrich_offset=0,
             receipt=True,
             receipt_text=False,
             monitor=True,
@@ -233,6 +234,7 @@ def lazy_init():
             disable=_bool_input_factory(),
             manual=_bool_input_factory(),
             enrich_print=_bool_input_factory(),
+            enrich_offset=_int_input_factory(0, sys.maxsize),
             receipt=_bool_input_factory(),
             receipt_text=_bool_input_factory(),
             monitor=_format_input_factory('count total percent'),
diff --git a/alive_progress/core/hook_manager.py b/alive_progress/core/hook_manager.py
index dfac2fa..5b43fff 100644
--- a/alive_progress/core/hook_manager.py
+++ b/alive_progress/core/hook_manager.py
@@ -9,13 +9,14 @@
 ENCODING = sys.getdefaultencoding()
 
 
-def buffered_hook_manager(header_template, get_pos, cond_refresh, term):
+def buffered_hook_manager(header_template, get_pos, offset, cond_refresh, term):
     """Create and maintain a buffered hook manager, used for instrumenting print
     statements and logging.
 
     Args:
         header_template (): the template for enriching output
         get_pos (Callable[..., Any]): the container to retrieve the current position
+        offset (int): the offset to add to the current position
         cond_refresh: Condition object to force a refresh when printing
         term: the current terminal
 
@@ -121,7 +122,7 @@ def uninstall():
 
     # internal data.
     buffers = defaultdict(list)
-    get_header = gen_header(header_template, get_pos) if header_template else null_header
+    get_header = gen_header(header_template, get_pos, offset)
     base = sys.stdout, sys.stderr  # needed for tests.
     before_handlers = {}
 
@@ -154,12 +155,11 @@ def __noop():  # pragma: no cover
     pass
 
 
-def gen_header(header_template, get_pos):  # pragma: no cover
-    def inner():
-        return header_template.format(get_pos())
+def gen_header(header_template, get_pos, offset):  # pragma: no cover
+    def header():
+        return header_template.format(get_pos() + offset)
 
-    return inner
+    def null_header():
+        return ''
 
-
-def null_header():  # pragma: no cover
-    return ''
+    return header if header_template else null_header
diff --git a/alive_progress/core/progress.py b/alive_progress/core/progress.py
index da0b64c..a0e266a 100644
--- a/alive_progress/core/progress.py
+++ b/alive_progress/core/progress.py
@@ -89,6 +89,7 @@ def alive_bar(total: Optional[int] = None, *, calibrate: Optional[int] = None, *
             disable (bool): if True, completely disables all output, do not install hooks
             manual (bool): set to manually control the bar position
             enrich_print (bool): enriches print() and logging messages with the bar position
+            enrich_offset (int): the offset to apply to enrich_print
             receipt (bool): prints the nice final receipt, disables if False
             receipt_text (bool): set to repeat the last text message in the final receipt
             monitor (bool|str): configures the monitor widget `152/200 [76%]`
@@ -243,8 +244,8 @@ def pause_monitoring():
         term, hook_manager = terminal.get_void(), passthrough_hook_manager()
     else:
         term = terminal.get_term(config.file, config.force_tty, config.max_cols)
-        hook_manager = buffered_hook_manager(
-            header if config.enrich_print else '', current, cond_refresh, term)
+        hook_manager = buffered_hook_manager(header if config.enrich_print else '',
+                                             current, config.enrich_offset, cond_refresh, term)
 
     if term.interactive:
         thread = threading.Thread(target=run, args=_create_spinner_player(config))