Dobson, 27, has been at Craven Park for five years, and has been targeted by the Reds as part of Brian Noble’s revolution under big spending Dr Marwan Koukash.
The Australian does have a release clause in his contract that enables him to leave the Robins for the NRL.
Chairman Neil Hudgell said: “Michael is very intrinsic to what we’re trying to do going forward but the reality is that he has ambitions to play in the NRL again.
“If Michael doesn’t exercise the NRL release clause then I’ll be speaking to him about extending his contract beyond the end of next season. As a club, we’re not going to let the situation that we had with Scott Taylor re-occur with Michael or any of our leading players. I’d expect to try and agree a new deal with him during the course of this season and if that doesn’t happen then we’ll explore other options.
“We agreed the option clause for the end of this season just to reflect the fact that we’re grateful for his contribution to the club during the past five years.
“There are always rumours about him, not just in Australia, but also in this country as well. We’ve had a big money offer from Salford for Michael which we’ve turned down.
“It may be that they come back knocking on our door again in the future and it may be that ourselves as a club, and Michael, have to consider that depending on how circumstances unravel.
“It’s a short career and players have to do what’s best for themselves. Michael will assess his own ambitions and determine the future career decisions he makes based upon that.”