Latino Review claims that Marvel is looking at Johnny Depp to play Doctor Strange. Depp has reportedly had a meeting with Marvel to discuss taking the role.

Depp is a comic book fan and is "very interested" in joining a Marvel project. He also has a good relationship with Disney thanks to Pirates of the Caribbean and Alice in Wonderland. It's believed that Disney would move the production of Pirates 5 around if Depp agrees to play Strange.

If Depp takes the role, it may require some script changes as the original script had Dr. Strange as a 30-year-old. This would have nothing to do with Marvel's Phase 2 or The Avengers: Age of Ultron. This is a Phase 3 project with a potential 2016 release date. If it happens, the soonest Depp would be revealed is the post-credits sequence in The Avengers.

The website also claims that fans wanting Depp to get the role may have played a part in him being considered.
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He should. That role would be up his ally.

He actually would be a great look for Dr. Strange.