The Treasury is reviewing student loan repayment after a clash over conditions.
The government will publish clearer guidance on repayments in England.
The review comes after a disagreement about loan conditions and repayment obligations.
Burnham has opposed Budget reforms.
Labour has not ruled out a repayment U-turn after a reported £200bn mis-selling scandal.
The reported figure comes from claims that borrowers were given misleading information about their loans.
No final decision has been announced.
The review is still under way.