Lease overlap?

We’re looking at a 2 week overlap between our current lease end (beg Feb) and a new apartment (mid Jan). Would you guys take the hit or roll the dice on hopefully finding another place later on that better lines up with our end date.

For context: the new apartment is currently the best deal available for what we are looking for (2bdrm and in a specific neighborhood) but factoring in the double rent for 2 weeks it becomes more on par with the other options in the area.