The phrase "current servicer" refers to the company or entity that is currently responsible for managing or taking care of a particular service or task. Full definition
You'll eventually need to grab your payoff statements from your current servicers, too, although this typically isn't needed until after you're approved for refinancing. (studentloanhero.com)
And refinancing means getting an entirely new loan, which means your loan servicer may change — and any benefits you have with the current servicer could change, too. (studentloanhero.com)
Confirmation from your current servicer / loan holder of the pay - off amounts and interest rates on your underlying loans (generally within 2 weeks of receiving your application) (myfedloan.org)