Your question is difficult to answer
It's hard to say because it might be impossible.
The checkride for a type rating in the US is essentially an ATP checkride--except it's for a specific aircraft.
Theoretically you can earn both the type and the ATP on the same checkride but I don't know who's going to sign you up for only a partial course.
Of course the best way would be to have your company pay for your training and submit the application for both 737 type and ATP certificate.
Either that, or I'm afraid you'll have to complete the entire course at your expense.
Good luck