Tomori joined the Rossoneri on loan in the winter transfer window and AC Milan reserved an option to sign the defender on a permanent contract in the summer.
Chelsea agreed to include the option to buy in the loan agreement for a fixed price of €28m, which the Rossoneri are trying to negotiate down.
The Blues are in no mood to agree to a lower fee, but there was confidence that AC Milan will have the funds to get the deal over the line in the summer.
But the Rossoneri find themselves outside the top four at the moment and according to Italian daily Tuttosport, if they do not qualify for the Champions League, they are unlikely to want to spend €28m on Tomori.
The Serie A giants’ transfer plans are hinging on them rediscovering their form and sneaking into the top four in the final five games of the season.
They wish to sign Tomori on a permanent deal but with Chelsea unlikely to negotiate the price down, Champions League qualification is likely to be the pivotal factor.
The agreed price for the defender is likely to be prohibitive for AC Milan if they do not have the riches of the Champions League this summer.