After being released by Norwich this summer, the Argentine is looking for a new club.
Becchio was on loan at the New York Stadium at the start of this past season, where he scored twice in five games before injury curtailed his spell, but currently, that looks like the only football the forward will be playing under Evans according to the man himself.
"Players like Luciano are not on our immediate radar,” the Rotherham manager told the Millers' website.
“Everyone knows I have a fantastic relationship with the lad from his brief time with us, and people know how frustrated we were when he picked up his injury because we were starting to see him blossom.
“We have moved elsewhere now and he isn’t someone that we have spoken to as we look to put together our squad for next season.”
The Argentine was of course a huge success in his former time in Yorkshire, with his five years at Leeds yielding 86 goals.
It was a spell that convinced Norwich City, then a Premier League outfit, to shell out a decent sized transfer fee to bring the striker to Carrow Road, but it is a move that hasn't worked out for either the player or the club, and Becchio is now out of contract after failing to score in 16 appearances for the Canaries.
Rotherham, who survived the drop to League One in the last couple of games of the season, will be looking to strengthen this summer to ensure they have a stronger season next year, but it looks like Becchio won't be one of those additions.
The 31-year-old was linked with a return to Elland Road earlier in the season by the Yorkshire Evening Post, and it wouldn't be a surprise to see his old club revisit the possibility of signing their former hero.