diff --git a/src/calibre/utils/magick/draw.py b/src/calibre/utils/magick/draw.py
index 17bf1c273a..82a0237b8d 100644
--- a/src/calibre/utils/magick/draw.py
+++ b/src/calibre/utils/magick/draw.py
@@ -165,12 +165,17 @@ def create_cover_page(top_lines, logo_path, width=590, height=750,
     top  = height - lheight - 10
     canvas.compose(vanity, left, top)
 
-    logo = Image()
-    logo.open(logo_path)
-    lwidth, lheight = logo.size
-    left = int(max(0, (width - lwidth)/2.))
-    top  = max(int((height - lheight)/2.), bottom+20)
-    canvas.compose(logo, left, top)
+    available = (width, int(top - bottom)-20)
+    if available[1] > 40:
+        logo = Image()
+        logo.open(logo_path)
+        lwidth, lheight = logo.size
+        scaled, lwidth, lheight = fit_image(lwidth, lheight, *available)
+        if scaled:
+            logo.size = (lwidth, lheight)
+        left = int(max(0, (width - lwidth)/2.))
+        top  = bottom+10
+        canvas.compose(logo, left, top)
 
     return canvas.export(output_format)