The Reds slipped to a 2-0 defeat to Gainsborough on Saturday which all but confirmed their relegation from the EVO-STIK League Premier Division.
He will remain in charge for Reds’ final three matches before ending a long-standing association with the club which began in 2008 and saw him give distinguished service as a player, coach and manager over the past decade.
Andrews said: “I share everyone’s disappointment of how the season has gone and feel the time is right for the club to move in a different direction with fresh impetus.
“I’m looking forward to spending more time at home with my family because, without their support, I would have never been able to do this over the past four seasons.”
The club would like to place on record their gratitude to Lee for his dedicated service and loyalty.
The position will be advertised imminently with the club beginning the process to identify and appoint a new manager as soon as possible.