The Bradford South MP is fronting a bid by local restaurant owner Omar Khan, who hopes to succeed where the ABC consortium appear to have failed.
The RFL spokesman said: "Details of a further offer for Bradford Bulls are currently being assessed by the RFL, which will continue to work with the administrator to help find new owners for the club."
The future of the Bulls remains up in the air after the Rugby Football League described the ABC consortium's offer to Bradford's joint administrator Brendan Guilfoyle as "unreasonable and unrealistic"
The latest offer is thought to contain similar conditions regarding the Bulls' Super League status but Sutcliffe insisted the plan would be to develop Odsal with support from Bradford Council.
"The club is so important to the city," he said. "It's more important than just a rugby league club - it's part of our heritage in Bradford. We want to make sure it's saved.
"The bid aims to achieve three things - to create a sustainable future for the club, development of the stadium and to develop the site in the way we have all thought about in the past.
"The third point is a long-term plan to work with the fans about how we can develop the site to attract as many people as possible.
"That would happen over a period of time and something that would involve working with partners."
Guilfoyle has given himself until close of business on Friday to avoid putting the club into liquidation, although he could once more extend the deadline if he feels a deal can be achieved.