Mouse Guard for Hives on Rooftop

[rdlp18]

I live in Chicago and my hive is set up on the roof of my brick two-flat. Does anyone think mice would/could crawl up to the roof and try to get into the hive? I have seen mice on occasion in my garden but it never occurred to me that they could actually climb up to the roof. It seems unlikely but I was getting ready to put in the entrance reducer since temps here have been unseasonably cold for October and thought I should maybe consider getting a mouse guard instead. Any thoughts?

[libhart]

I don't think you'll regret using a mouse guard if you have no mice, but you will regret not using it if you do have mice.

[WesternWilson]

The mouse guard may help and does not hurt!

[Charlie B]

I have 12 roof top hives in SF and you will most assuredly need mouse/rat guards. Get a sheet of 1/4" hardware cloth, cut it to fit and thumbtack it over your hive entrances.