The striker who moved to Elland Road from Peterborough United has been made available for loan by new manager Neil Redfearn.
The 23-year old striker signed a 3-year deal in August for a fee of £150k and has only featured in three Championship matches and has not featured in the first team for nearly three months.
The move will be completed if both clubs can come to agreement over how much Crewe cover the cost of Ajose's wages and any deal will see the fomer Manchester United potentially have a loan spell until January.