Your best solution may be to just tarp off the problem area until the spring but be sure not to block off any venting pipes that vent out dangerous gasses.
Fix leaky roof in winter.
Recaulk the corner flashing if any areas have hardened caulk.
The roof shingles should be softened and flattened as the shingles tend to curl up in winter.
How to repair a leaky roof from inside the house.
For example soak the downhill side of a chimney first then each side then the top on both sides.
Start low soaking the area just above where the leak appears in the house.
Dig out any cracked or dry caulking that isn t properly sealing adjoining surfaces and replace with silicone caulk.
Replace any missing or rotted siding above the step flashing on dormers.
Now is a time when you can start planning if you know where to start.
Locate the leaking source and search for the damaged or missing shingles and make a list of the areas to be repaired.
You nail shingles to the roof of course but each shingle has a tar strip on it that causes it to stick to the shingle that overlaps it.
You can t fix a leaky roof from the inside so don t even try.
Isolate areas when you run the hose.
Identify the potential source of the leak.
Locate the source of the leak by examining the underside of the roof from within your attic or crawl space.
If a leak is difficult to find enlist a helper and go up on the roof with a garden hose.
While most homeowners aim to repair their leaky roofs during the summer winter roof repair is always available when you need it.
The purpose is to keep the shingle tabs down in high winds.
The shingles can be warmed up with a propane torch.