diff --git a/fs/select.c b/fs/select.c
index 015547330e88..f4dd55fc638c 100644
--- a/fs/select.c
+++ b/fs/select.c
@@ -29,6 +29,7 @@
 #include <linux/sched/rt.h>
 #include <linux/freezer.h>
 #include <net/busy_poll.h>
+#include <linux/vmalloc.h>
 
 #include <asm/uaccess.h>
 
@@ -550,7 +551,7 @@ int core_sys_select(int n, fd_set __user *inp, fd_set __user *outp,
 	fd_set_bits fds;
 	void *bits;
 	int ret, max_fds;
-	unsigned int size;
+	size_t size, alloc_size;
 	struct fdtable *fdt;
 	/* Allocate small arguments on the stack to save memory and be faster */
 	long stack_fds[SELECT_STACK_ALLOC/sizeof(long)];
@@ -577,7 +578,14 @@ int core_sys_select(int n, fd_set __user *inp, fd_set __user *outp,
 	if (size > sizeof(stack_fds) / 6) {
 		/* Not enough space in on-stack array; must use kmalloc */
 		ret = -ENOMEM;
-		bits = kmalloc(6 * size, GFP_KERNEL);
+		if (size > (SIZE_MAX / 6))
+			goto out_nofds;
+
+		alloc_size = 6 * size;
+		bits = kmalloc(alloc_size, GFP_KERNEL|__GFP_NOWARN);
+		if (!bits && alloc_size > PAGE_SIZE)
+			bits = vmalloc(alloc_size);
+
 		if (!bits)
 			goto out_nofds;
 	}
@@ -614,7 +622,7 @@ int core_sys_select(int n, fd_set __user *inp, fd_set __user *outp,
 
 out:
 	if (bits != stack_fds)
-		kfree(bits);
+		kvfree(bits);
 out_nofds:
 	return ret;
 }