I'd agree with Luke on a lot of the above.
Two to three months is enough to get further past Dakar, but you won't have a huge amount of time on your hands to chill out or take a 500 km detour to see something interesting.
I rode from Lagos, Nigeria to Dublin, Ireland in about 7 weeks during July and August this year. It was a little tight for time and if I had another 2-3 weeks I would have had time to take a little longer in some places.
It was hot, obviously, but not impossibly so. And I say that while having spent most days wrapped up in motorcycle gear.
Head off and have a great time!
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