diff --git a/doc/changes/dev/13940.bugfix.rst b/doc/changes/dev/13940.bugfix.rst
new file mode 100644
index 00000000000..a8be41790f0
--- /dev/null
+++ b/doc/changes/dev/13940.bugfix.rst
@@ -0,0 +1 @@
+Fix :func:`mne.preprocessing.eyetracking.interpolate_blinks` so that all annotation descriptions passed via ``match`` are interpolated over, rather than only ``BAD_blink`` ones, by :newcontrib:`gaoflow`.
diff --git a/doc/changes/names.inc b/doc/changes/names.inc
index a8a0726e9d7..ed6d4e8b5f2 100644
--- a/doc/changes/names.inc
+++ b/doc/changes/names.inc
@@ -111,6 +111,7 @@
 .. _Florin Pop: https://github.com/florin-pop
 .. _Frederik Weber: https://github.com/Frederik-D-Weber
 .. _Fu-Te Wong: https://github.com/zuxfoucault
+.. _gaoflow: https://github.com/gaoflow
 .. _Gennadiy Belonosov: https://github.com/Genuster
 .. _Geoff Brookshire: https://github.com/gbrookshire
 .. _George O'Neill: https://georgeoneill.github.io
diff --git a/mne/preprocessing/eyetracking/_pupillometry.py b/mne/preprocessing/eyetracking/_pupillometry.py
index cfc630b6441..4b62bfe7f8a 100644
--- a/mne/preprocessing/eyetracking/_pupillometry.py
+++ b/mne/preprocessing/eyetracking/_pupillometry.py
@@ -63,7 +63,9 @@ def interpolate_blinks(raw, buffer=0.05, match="BAD_blink", interpolate_gaze=Fal
     if not blink_annots:
         warn(f"No annotations matching {match} found. Aborting.")
         return raw
-    _interpolate_blinks(raw, buffer, blink_annots, interpolate_gaze=interpolate_gaze)
+    _interpolate_blinks(
+        raw, buffer, blink_annots, interpolate_gaze=interpolate_gaze, match=match
+    )
 
     # remove bad from the annotation description
     for desc in match:
@@ -73,10 +75,17 @@ def interpolate_blinks(raw, buffer=0.05, match="BAD_blink", interpolate_gaze=Fal
     return raw
 
 
-def _interpolate_blinks(raw, buffer, blink_annots, interpolate_gaze):
+def _interpolate_blinks(raw, buffer, blink_annots, interpolate_gaze, match):
     """Interpolate eyetracking signals during blinks in-place."""
     logger.info("Interpolating missing data during blinks...")
     pre_buffer, post_buffer = buffer
+    # Derive the start/stop time (in seconds) of every matched annotation. Passing
+    # ``match`` (rather than re-querying a hardcoded ``"BAD_blink"``) ensures all
+    # descriptions in ``match`` are interpolated over and that the start/stop times
+    # stay aligned with ``blink_annots`` in the loop below.
+    starts, ends = _annotations_starts_stops(raw, match)
+    starts = starts / raw.info["sfreq"]
+    ends = ends / raw.info["sfreq"]
     # iterate over each eyetrack channel and interpolate the blinks
     interpolated_chs = []
     for ci, ch_info in enumerate(raw.info["chs"]):
@@ -88,9 +97,6 @@ def _interpolate_blinks(raw, buffer, blink_annots, interpolate_gaze):
                 continue
         # Create an empty boolean mask
         mask = np.zeros_like(raw.times, dtype=bool)
-        starts, ends = _annotations_starts_stops(raw, "BAD_blink")
-        starts = np.divide(starts, raw.info["sfreq"])
-        ends = np.divide(ends, raw.info["sfreq"])
         for annot, start, end in zip(blink_annots, starts, ends):
             if "ch_names" not in annot or not annot["ch_names"]:
                 msg = f"Blink annotation missing values for 'ch_names' key: {annot}"
diff --git a/mne/preprocessing/eyetracking/tests/test_pupillometry.py b/mne/preprocessing/eyetracking/tests/test_pupillometry.py
index 19077e44d81..1b9c3424ba5 100644
--- a/mne/preprocessing/eyetracking/tests/test_pupillometry.py
+++ b/mne/preprocessing/eyetracking/tests/test_pupillometry.py
@@ -5,7 +5,7 @@
 import numpy as np
 import pytest
 
-from mne import create_info
+from mne import Annotations, create_info
 from mne.annotations import _annotations_starts_stops
 from mne.datasets.testing import data_path, requires_testing_data
 from mne.io import RawArray, read_raw_eyelink
@@ -71,3 +71,44 @@ def test_interpolate_blinks(buffer, match, cause_error, interpolate_gaze, crop):
     if interpolate_gaze:
         assert not np.isnan(data[0, blink_ind]).any()  # left eye
         assert not np.isnan(data[1, blink_ind]).any()  # right eye
+
+
+def _pupil_raw_with_gaps():
+    """Synthetic pupil Raw with two missing segments at known sample ranges."""
+    info = create_info(["pupil_left", "pupil_right"], 100.0, ["pupil", "pupil"])
+    data = np.ones((2, 1000)) * 5.0
+    data[:, 100:150] = 0.0  # a blink
+    data[:, 600:650] = 0.0  # a non-blink gap (e.g. NaN/dropout)
+    raw = RawArray(data, info)
+    raw.set_annotations(
+        Annotations(
+            onset=[1.0, 6.0],
+            duration=[0.5, 0.5],
+            description=["BAD_blink", "BAD_NAN"],
+            ch_names=[("pupil_left", "pupil_right"), ("pupil_left", "pupil_right")],
+        )
+    )
+    return raw
+
+
+def test_interpolate_blinks_respects_match():
+    """All descriptions in ``match`` are interpolated, not just ``BAD_blink``.
+
+    Regression test for #13880: ``interpolate_blinks`` exposes a ``match``
+    parameter, but the segment start/stop times were derived from a hardcoded
+    ``"BAD_blink"`` query, so any other matched annotation (e.g. ``BAD_NAN``
+    from :func:`mne.preprocessing.annotate_nan`) was silently ignored.
+    """
+    # default match="BAD_blink": only the blink gap is filled, the other remains
+    raw = _pupil_raw_with_gaps()
+    interpolate_blinks(raw, buffer=(0.0, 0.0))
+    data = raw.get_data()
+    assert not np.any(data[:, 100:150] == 0.0)  # blink interpolated
+    assert np.all(data[:, 600:650] == 0.0)  # unmatched gap untouched
+
+    # match both descriptions: both gaps are interpolated
+    raw = _pupil_raw_with_gaps()
+    interpolate_blinks(raw, buffer=(0.0, 0.0), match=["BAD_blink", "BAD_NAN"])
+    data = raw.get_data()
+    assert not np.any(data[:, 100:150] == 0.0)
+    assert not np.any(data[:, 600:650] == 0.0)