diff --git a/src/r_segs.cpp b/src/r_segs.cpp
index 96bb1f948c..2d39a6d973 100644
--- a/src/r_segs.cpp
+++ b/src/r_segs.cpp
@@ -1147,11 +1147,12 @@ WallscanSampler::WallscanSampler(int y1, float swal, double yrepeat, fixed_t xof
 			if (r_mipmap && texture->Mipmapped())
 			{
 				uint32_t xpos = (uint32_t)((((uint64_t)xoffset) << FRACBITS) / mip_width);
-				int level = (int)MAX(magnitude - 1.0, 0.0);
-				while (level != 0)
+				double texture_bias = 1.7f;
+				double level = MAX(magnitude - 3.0, 0.0);
+				while (level > texture_bias)
 				{
 					mipmap_offset += mip_width * mip_height;
-					level >>= 1;
+					level *= 0.5f;
 					mip_width = MAX(mip_width >> 1, 1);
 					mip_height = MAX(mip_height >> 1, 1);
 				}