diff --git a/quinn-proto/src/connection/mod.rs b/quinn-proto/src/connection/mod.rs
index 16e391624..0384fd1f2 100644
--- a/quinn-proto/src/connection/mod.rs
+++ b/quinn-proto/src/connection/mod.rs
@@ -912,7 +912,7 @@ impl Connection {
         }
 
         let max_datagrams = match self.config.enable_segmentation_offload {
-            false => NonZeroUsize::new(1).expect("known"),
+            false => NonZeroUsize::MIN,
             true => max_datagrams,
         };
 
diff --git a/quinn-proto/src/connection/transmit_buf.rs b/quinn-proto/src/connection/transmit_buf.rs
index 42930ab1a..ce5c40c4d 100644
--- a/quinn-proto/src/connection/transmit_buf.rs
+++ b/quinn-proto/src/connection/transmit_buf.rs
@@ -123,7 +123,7 @@ impl<'a> TransmitBuf<'a> {
             if datagram_size < self.segment_size {
                 // If this is a GSO batch and this datagram is smaller than the segment
                 // size, this must be the last datagram in the batch.
-                self.max_datagrams = NonZeroUsize::new(self.num_datagrams + 1).expect("known");
+                self.max_datagrams = NonZeroUsize::MIN.saturating_add(self.num_datagrams);
             }
         }
         self.datagram_start = self.buf.len();
diff --git a/quinn-udp/benches/throughput.rs b/quinn-udp/benches/throughput.rs
index 9c4ddf88f..20328a852 100644
--- a/quinn-udp/benches/throughput.rs
+++ b/quinn-udp/benches/throughput.rs
@@ -55,7 +55,7 @@ pub fn criterion_benchmark(c: &mut Criterion) {
         let gso_segments = if gso_enabled {
             send_state.max_gso_segments()
         } else {
-            NonZeroUsize::new(1).expect("known")
+            NonZeroUsize::MIN
         };
         let msg = vec![0xAB; min(MAX_DATAGRAM_SIZE, SEGMENT_SIZE * gso_segments.get())];
         let transmit = Transmit {
@@ -68,7 +68,7 @@ pub fn criterion_benchmark(c: &mut Criterion) {
         let gro_segments = if gro_enabled {
             recv_state.gro_segments()
         } else {
-            NonZeroUsize::new(1).expect("known")
+            NonZeroUsize::MIN
         };
         let batch_size = if recvmmsg_enabled { BATCH_SIZE } else { 1 };
 
diff --git a/quinn-udp/src/fallback.rs b/quinn-udp/src/fallback.rs
index f89a77d25..01a951e51 100644
--- a/quinn-udp/src/fallback.rs
+++ b/quinn-udp/src/fallback.rs
@@ -84,7 +84,7 @@ impl UdpSocketState {
 
     #[inline]
     pub fn gro_segments(&self) -> NonZeroUsize {
-        NonZeroUsize::new(1).expect("known")
+        NonZeroUsize::MIN
     }
 
     /// Resize the send buffer of `socket` to `bytes`
diff --git a/quinn-udp/src/unix.rs b/quinn-udp/src/unix.rs
index 086045784..3238161f6 100644
--- a/quinn-udp/src/unix.rs
+++ b/quinn-udp/src/unix.rs
@@ -1032,7 +1032,7 @@ mod gro {
             .or_else(|_| std::net::UdpSocket::bind((Ipv4Addr::LOCALHOST, 0)))
         {
             Ok(socket) => socket,
-            Err(_) => return NonZeroUsize::new(1).expect("known"),
+            Err(_) => return NonZeroUsize::MIN,
         };
 
         // As defined in net/ipv4/udp_offload.c
@@ -1044,7 +1044,7 @@ mod gro {
         // https://github.com/quinn-rs/quinn/pull/1354.
         match set_socket_option(&socket, libc::SOL_UDP, UDP_GRO, OPTION_ON) {
             Ok(()) => NonZeroUsize::new(64).expect("known"),
-            Err(_) => NonZeroUsize::new(1).expect("known"),
+            Err(_) => NonZeroUsize::MIN,
         }
     }
 }
@@ -1096,6 +1096,6 @@ mod gro {
     use std::num::NonZeroUsize;
 
     pub(super) fn gro_segments() -> NonZeroUsize {
-        NonZeroUsize::new(1).expect("known")
+        NonZeroUsize::MIN
     }
 }
diff --git a/quinn/src/runtime/mod.rs b/quinn/src/runtime/mod.rs
index 6100df149..2f850b42a 100644
--- a/quinn/src/runtime/mod.rs
+++ b/quinn/src/runtime/mod.rs
@@ -67,7 +67,7 @@ pub trait AsyncUdpSocket: Send + Sync + Debug + 'static {
 
     /// Maximum number of datagrams that might be described by a single [`RecvMeta`]
     fn max_receive_segments(&self) -> NonZeroUsize {
-        NonZeroUsize::new(1).expect("known")
+        NonZeroUsize::MIN
     }
 
     /// Whether datagrams might get fragmented into multiple parts
@@ -102,7 +102,7 @@ pub trait UdpSender: Send + Sync + Debug + 'static {
 
     /// Maximum number of datagrams that a [`Transmit`] may encode.
     fn max_transmit_segments(&self) -> NonZeroUsize {
-        NonZeroUsize::new(1).expect("known")
+        NonZeroUsize::MIN
     }
 }