diff --git a/block/blk-lib.c b/block/blk-lib.c
index e8caecd71688..3fe0aec90597 100644
--- a/block/blk-lib.c
+++ b/block/blk-lib.c
@@ -261,6 +261,19 @@ static int __blkdev_issue_write_zeroes(struct block_device *bdev,
 	return 0;
 }
 
+/*
+ * Convert a number of 512B sectors to a number of pages.
+ * The result is limited to a number of pages that can fit into a BIO.
+ * Also make sure that the result is always at least 1 (page) for the cases
+ * where nr_sects is lower than the number of sectors in a page.
+ */
+static unsigned int __blkdev_sectors_to_bio_pages(sector_t nr_sects)
+{
+	sector_t bytes = (nr_sects << 9) + PAGE_SIZE - 1;
+
+	return min(bytes >> PAGE_SHIFT, (sector_t)BIO_MAX_PAGES);
+}
+
 /**
  * __blkdev_issue_zeroout - generate number of zero filed write bios
  * @bdev:	blockdev to issue
@@ -307,18 +320,18 @@ int __blkdev_issue_zeroout(struct block_device *bdev, sector_t sector,
 
 	ret = 0;
 	while (nr_sects != 0) {
-		bio = next_bio(bio, min(nr_sects, (sector_t)BIO_MAX_PAGES),
-				gfp_mask);
+		bio = next_bio(bio, __blkdev_sectors_to_bio_pages(nr_sects),
+			       gfp_mask);
 		bio->bi_iter.bi_sector = sector;
 		bio->bi_bdev   = bdev;
 		bio_set_op_attrs(bio, REQ_OP_WRITE, 0);
 
 		while (nr_sects != 0) {
-			sz = min((sector_t) PAGE_SIZE >> 9 , nr_sects);
-			bi_size = bio_add_page(bio, ZERO_PAGE(0), sz << 9, 0);
+			sz = min((sector_t) PAGE_SIZE, nr_sects << 9);
+			bi_size = bio_add_page(bio, ZERO_PAGE(0), sz, 0);
 			nr_sects -= bi_size >> 9;
 			sector += bi_size >> 9;
-			if (bi_size < (sz << 9))
+			if (bi_size < sz)
 				break;
 		}
 		cond_resched();