Using random forest to select important variables & then putting into logistic regression?

I was wondering does it make sense to use random forest to select most important variables then put into logistic regression for prediction? I think that it might not make sense because what's important for random forest might not be important for logistic regression?

There is not any single good answer to this question as this thing depends on many factors and one of them is the data. As per my experience, I prefer not to remove features as even little information can be very useful.