diff --git a/include/block/nbd.h b/include/block/nbd.h
index 1971b55789..24be9570bb 100644
--- a/include/block/nbd.h
+++ b/include/block/nbd.h
@@ -294,8 +294,8 @@ int nbd_errno_to_system_errno(int err);
 typedef struct NBDExport NBDExport;
 typedef struct NBDClient NBDClient;
 
-NBDExport *nbd_export_new(BlockDriverState *bs, off_t dev_offset, off_t size,
-                          const char *name, const char *description,
+NBDExport *nbd_export_new(BlockDriverState *bs, uint64_t dev_offset,
+                          uint64_t size, const char *name, const char *desc,
                           const char *bitmap, uint16_t nbdflags,
                           void (*close)(NBDExport *), bool writethrough,
                           BlockBackend *on_eject_blk, Error **errp);
diff --git a/nbd/server.c b/nbd/server.c
index 51ee8094e0..cb0d5634fa 100644
--- a/nbd/server.c
+++ b/nbd/server.c
@@ -77,8 +77,8 @@ struct NBDExport {
     BlockBackend *blk;
     char *name;
     char *description;
-    off_t dev_offset;
-    off_t size;
+    uint64_t dev_offset;
+    uint64_t size;
     uint16_t nbdflags;
     QTAILQ_HEAD(, NBDClient) clients;
     QTAILQ_ENTRY(NBDExport) next;
@@ -1455,8 +1455,8 @@ static void nbd_eject_notifier(Notifier *n, void *data)
     nbd_export_close(exp);
 }
 
-NBDExport *nbd_export_new(BlockDriverState *bs, off_t dev_offset, off_t size,
-                          const char *name, const char *description,
+NBDExport *nbd_export_new(BlockDriverState *bs, uint64_t dev_offset,
+                          uint64_t size, const char *name, const char *desc,
                           const char *bitmap, uint16_t nbdflags,
                           void (*close)(NBDExport *), bool writethrough,
                           BlockBackend *on_eject_blk, Error **errp)
@@ -1495,12 +1495,12 @@ NBDExport *nbd_export_new(BlockDriverState *bs, off_t dev_offset, off_t size,
     exp->refcount = 1;
     QTAILQ_INIT(&exp->clients);
     exp->blk = blk;
-    assert(dev_offset >= 0 && dev_offset <= INT64_MAX);
+    assert(dev_offset <= INT64_MAX);
     exp->dev_offset = dev_offset;
     exp->name = g_strdup(name);
-    exp->description = g_strdup(description);
+    exp->description = g_strdup(desc);
     exp->nbdflags = nbdflags;
-    assert(size >= 0 && size <= INT64_MAX - dev_offset);
+    assert(size <= INT64_MAX - dev_offset);
     exp->size = QEMU_ALIGN_DOWN(size, BDRV_SECTOR_SIZE);
 
     if (bitmap) {
@@ -2130,10 +2130,10 @@ static int nbd_co_receive_request(NBDRequestData *req, NBDRequest *request,
         return -EROFS;
     }
     if (request->from > client->exp->size ||
-        request->from + request->len > client->exp->size) {
+        request->len > client->exp->size - request->from) {
         error_setg(errp, "operation past EOF; From: %" PRIu64 ", Len: %" PRIu32
                    ", Size: %" PRIu64, request->from, request->len,
-                   (uint64_t)client->exp->size);
+                   client->exp->size);
         return (request->type == NBD_CMD_WRITE ||
                 request->type == NBD_CMD_WRITE_ZEROES) ? -ENOSPC : -EINVAL;
     }
diff --git a/qemu-nbd.c b/qemu-nbd.c
index 5c90c5e55f..598caa656b 100644
--- a/qemu-nbd.c
+++ b/qemu-nbd.c
@@ -176,7 +176,7 @@ static void read_partition(uint8_t *p, struct partition_record *r)
 }
 
 static int find_partition(BlockBackend *blk, int partition,
-                          off_t *offset, off_t *size)
+                          uint64_t *offset, uint64_t *size)
 {
     struct partition_record mbr[4];
     uint8_t data[MBR_SIZE];
@@ -500,14 +500,14 @@ int main(int argc, char **argv)
 {
     BlockBackend *blk;
     BlockDriverState *bs;
-    off_t dev_offset = 0;
+    uint64_t dev_offset = 0;
     uint16_t nbdflags = 0;
     bool disconnect = false;
     const char *bindto = NULL;
     const char *port = NULL;
     char *sockpath = NULL;
     char *device = NULL;
-    off_t fd_size;
+    int64_t fd_size;
     QemuOpts *sn_opts = NULL;
     const char *sn_id_or_name = NULL;
     const char *sopt = "hVb:o:p:rsnP:c:dvk:e:f:tl:x:T:D:B:";
@@ -665,10 +665,6 @@ int main(int argc, char **argv)
                 error_report("Invalid offset `%s'", optarg);
                 exit(EXIT_FAILURE);
             }
-            if (dev_offset < 0) {
-                error_report("Offset must be positive `%s'", optarg);
-                exit(EXIT_FAILURE);
-            }
             break;
         case 'l':
             if (strstart(optarg, SNAPSHOT_OPT_BASE, NULL)) {
@@ -1005,15 +1001,14 @@ int main(int argc, char **argv)
     }
 
     if (dev_offset >= fd_size) {
-        error_report("Offset (%lld) has to be smaller than the image size "
-                     "(%lld)",
-                     (long long int)dev_offset, (long long int)fd_size);
+        error_report("Offset (%" PRIu64 ") has to be smaller than the image "
+                     "size (%" PRId64 ")", dev_offset, fd_size);
         exit(EXIT_FAILURE);
     }
     fd_size -= dev_offset;
 
     if (partition != -1) {
-        off_t limit;
+        uint64_t limit;
 
         if (dev_offset) {
             error_report("Cannot request partition and offset together");
@@ -1027,15 +1022,13 @@ int main(int argc, char **argv)
         }
         /*
          * MBR partition limits are (32-bit << 9); this assert lets
-         * the compiler know that we have two positive values that
-         * can't overflow 64 bits.
+         * the compiler know that we can't overflow 64 bits.
          */
-        assert(dev_offset >= 0 && dev_offset + limit >= dev_offset);
+        assert(dev_offset + limit >= dev_offset);
         if (dev_offset + limit > fd_size) {
-            error_report("Discovered partition %d at offset %lld size %lld, "
-                         "but size exceeds file length %lld", partition,
-                         (long long int) dev_offset, (long long int) limit,
-                         (long long int) fd_size);
+            error_report("Discovered partition %d at offset %" PRIu64
+                         " size %" PRIu64 ", but size exceeds file length %"
+                         PRId64, partition, dev_offset, limit, fd_size);
             exit(EXIT_FAILURE);
         }
         fd_size = limit;