diff --git a/PIL/BmpImagePlugin.py b/PIL/BmpImagePlugin.py
index 6f29fb767..b2a601cf1 100644
--- a/PIL/BmpImagePlugin.py
+++ b/PIL/BmpImagePlugin.py
@@ -85,8 +85,10 @@ class BmpImageFile(ImageFile.ImageFile):
         """ Read relevant info about the BMP """
         read, seek = self.fp.read, self.fp.seek
         seek(2)
+        start_data = read(12)
         file_info = dict()
-        file_info['filesize'] = i32(read(12)[0:4]) # file size @offset 2 (offsets 4, 12 are reserved for OS/2 Icons)
+        file_info['filesize'] = i32(start_data[0:4]) # file size @offset 2 (offsets 4, 12 are reserved for OS/2 Icons)
+        file_info['image_offset'] = i32(start_data[8:12]) # file size @offset 2 (offsets 4, 12 are reserved for OS/2 Icons)
         file_info['header_size'] = i32(read(4)) # read bmp header size @offset 14 (this is part of the header size)
         file_info['direction'] = -1
         header_data = ImageFile._safe_read(self.fp, file_info['header_size'] - 4) # read the rest of the bmp header, without its size
@@ -101,7 +103,7 @@ class BmpImageFile(ImageFile.ImageFile):
             file_info['compression'] = self.RAW
             file_info['palette_padding'] = 3
         #----------------------------------------------- Windows Bitmap v2 to v5
-        elif file_info['header_size'] in {40, 64, 108, 124}: # v3, OS/2 v2, v4, v5
+        elif file_info['header_size'] in (40, 64, 108, 124): # v3, OS/2 v2, v4, v5
             if file_info['header_size'] >= 64:
                 file_info['r_mask'] = i32(header_data[36:40])
                 file_info['g_mask'] = i32(header_data[40:44])