Rovers boss Ronnie Moore said: "Godwin is a very talented young defender who we've been watching for some time. When I heard he had become available on loan I jumped at the chance of bringing him in to play right back.
"He has spent the last three seasons at Liverpool so has worked with some great coaches.
"He is comfortable on the ball, already has Football League experience from his time at Hartlepool and he will add quality, strength and pace to our defence. Hopefully we will be able to keep him beyond January."