The Mirror reports both players are wanted by teams on loan for the coming season.
However, the Reds want to get fees for these players.
Grujic is 24 and was with Hertha Berlin on loan last term, and Wilson spent time with Bournemouth.
The Reds hope to raise at least £40 million from the two sales.
The club will reportedly use these funds to target new players, which could include a striker.