diff --git a/crates/media/src/ogg/mod.rs b/crates/media/src/ogg/mod.rs
index fefca4c9c..387c3fc71 100644
--- a/crates/media/src/ogg/mod.rs
+++ b/crates/media/src/ogg/mod.rs
@@ -778,8 +778,15 @@ pub struct OpusTiming {
     pub total: i64,
 }
 
+/// Largest granule position [`OpusTiming::of`] trusts: 2^62 samples at 48 kHz is about 3 million years.
+pub const MAX_OPUS_GRANULE: i64 = 1 << 62;
+
 impl OpusTiming {
     /// Timing of the Opus stream `s` (`pre_skip` from its `OpusHead`).
+    ///
+    /// A granule position outside `0..=MAX_OPUS_GRANULE` (a negative value other than -1, or an
+    /// absurdly large one) is treated like a missing granule: the page's packets continue from the
+    /// previous position instead of jumping to a nonsense one.
     pub fn of(stream: &Stream, pre_skip: u32) -> OpusTiming {
         // Granule positions come straight from the file, so the arithmetic saturates: a hostile
         // value gives wrong positions, never an overflow.
@@ -789,10 +796,11 @@ impl OpusTiming {
         let mut i = 0;
         let mut cursor: Option<i64> = None;
         let mut trimmed_end: Option<i64> = None;
+        let granule_of = |k: usize| stream.packets.get(k).and_then(|p| p.granule).filter(|g| (0..=MAX_OPUS_GRANULE).contains(g));
         while i < n {
             // packets completing on the same page: i..j, the last carries the page granule
             let mut j = i;
-            while j < n && stream.packets[j].granule.is_none() {
+            while j < n && granule_of(j).is_none() {
                 j += 1;
             }
             if j == n {
@@ -806,7 +814,7 @@ impl OpusTiming {
                 cursor = Some(c);
                 break;
             }
-            let Some(g) = stream.packets[j].granule else { break };
+            let Some(g) = granule_of(j) else { break };
             let sum = durations[i..=j].iter().fold(0i64, |a, &d| a.saturating_add(i64::from(d)));
             let eos = stream.packets[j].eos;
             let end = match cursor.map(|c| c.saturating_add(sum)) {
diff --git a/crates/media/src/ogg/tests.rs b/crates/media/src/ogg/tests.rs
index 4842c504c..f827648b1 100644
--- a/crates/media/src/ogg/tests.rs
+++ b/crates/media/src/ogg/tests.rs
@@ -91,6 +91,11 @@ fn pkt(i: usize, len: usize) -> Vec<u8> {
 
 /// Header pages, then pages of 3 packets each; the last page's granule trims `trim` samples.
 fn opus_file(npk: usize, pre_skip: u16, trim: i64) -> Vec<u8> {
+    opus_file_with(npk, pre_skip, |done, last| done as i64 * 960 - if last { trim } else { 0 })
+}
+
+/// Like `opus_file`, with the granule of each data page chosen by `granule(packets_done, is_last_page)`.
+fn opus_file_with(npk: usize, pre_skip: u16, granule: impl Fn(usize, bool) -> i64) -> Vec<u8> {
     let mut f = Vec::new();
     let head = opus_head(pre_skip);
     let (l, b) = lace(&[&head], false);
@@ -103,10 +108,7 @@ fn opus_file(npk: usize, pre_skip: u16, trim: i64) -> Vec<u8> {
     for (seq, chunk) in (2..).zip(pkts.chunks(3)) {
         done += chunk.len();
         let last = done == npk;
-        let mut g = done as i64 * 960;
-        if last {
-            g -= trim;
-        }
+        let g = granule(done, last);
         let refs: Vec<&[u8]> = chunk.iter().map(Vec::as_slice).collect();
         let (l, b) = lace(&refs, false);
         page(&mut f, if last { 0x04 } else { 0 }, g, 9, seq, &l, &b);
@@ -727,3 +729,55 @@ fn opus_timing_includes_packets_after_the_last_known_granule() {
     assert_eq!(timing.starts, vec![-312, 648, 1608, 2568, 3528, 4488]);
     assert_eq!(timing.total, 6 * 960 - 312);
 }
+
+/// The timing must be defined, bounded and panic-free for any granule a file can carry.
+fn assert_sane_timing(t: &OpusTiming, npk: usize) {
+    assert_eq!(t.starts.len(), npk);
+    // treated as unknown granules: the packets simply follow one another from the start
+    for (k, s) in t.starts.iter().enumerate() {
+        assert_eq!(*s, k as i64 * 960 - 312, "packet {k}");
+    }
+    // as for a truncated file with no usable granule, the total stays 0: it never exceeds what the packets add up to
+    assert!((0..=npk as i64 * 960).contains(&t.total), "total {}", t.total);
+}
+
+#[test]
+fn opus_timing_ignores_a_granule_near_i64_max() {
+    // panicked with "attempt to add with overflow" in debug builds, wrapped in release
+    let f = opus_file_with(10, 312, |done, _| i64::MAX - 10 + done as i64 / 3);
+    let o = open(&f).unwrap();
+    assert_sane_timing(&OpusTiming::of(&o.streams[0], 312), 10);
+}
+
+#[test]
+fn opus_timing_ignores_a_granule_of_i64_min() {
+    // panicked with "attempt to subtract with overflow" in debug builds
+    for g in [i64::MIN, i64::MIN + 1, -2] {
+        let f = opus_file_with(10, 312, |_, _| g);
+        let o = open(&f).unwrap();
+        assert_sane_timing(&OpusTiming::of(&o.streams[0], 312), 10);
+    }
+}
+
+#[test]
+fn opus_timing_with_a_bad_granule_on_one_page_recovers_on_the_next() {
+    // pages of 3 packets: the second page's granule is absurd, the others are right
+    let f = opus_file_with(9, 0, |done, _| if done == 6 { i64::MAX } else { done as i64 * 960 });
+    let o = open(&f).unwrap();
+    let t = OpusTiming::of(&o.streams[0], 0);
+    let expect: Vec<i64> = (0..9).map(|k| k * 960).collect();
+    assert_eq!(t.starts, expect);
+    assert_eq!(t.total, 9 * 960);
+}
+
+#[test]
+fn largest_trusted_granule_with_a_huge_pre_skip_stays_in_range() {
+    let f = opus_file_with(6, 0, |done, _| MAX_OPUS_GRANULE - 6 * 960 + done as i64 * 960);
+    let o = open(&f).unwrap();
+    let t = OpusTiming::of(&o.streams[0], u32::MAX);
+    // shift = base (the first raw start, 2^62 - 5760) + u32::MAX; every start is relative to it
+    let expect: Vec<i64> = (0..6).map(|k| k * 960 - u32::MAX as i64).collect();
+    assert_eq!(t.starts, expect);
+    // the end (2^62) lies before the shift, so nothing is playable
+    assert_eq!(t.total, 0);
+}