If Pelosi had the votes, which she doesn't otherwise it would be on the table, it could get through the house without debate.
The thought isn't really that he gets removed through impeachment. More that it is sitting in the senate and they could vote to remove him for the next few weeks is better than the serious unknowns of the 25th.
The trial, etc, of the senate aren't necessarily things that have to take a long time, but we are obviously in weird times and he gets officially removed in two weeks. This is mainly leverage over the executive.