There's nothing like striking while an iron is hot but, any deal cannot be finalised until the Scottish FA grants membership to the new club.
Even so, SFL's media representative IMG, is inviting bids from interested parties, with a closing date of Monday.
The proposed deal includes the opportunity to broadcast all 18 of Rangers' away league matches.
Members of the Rangers board held talks with the SFA on Tuesday, but there is debate over what punishments they will accept in return for membership.
The SFL TV deal on offer is subject to certain criteria, including fixture clashes, scheduling clashes and policing but with the start of the new season less than three weeks away, they want all parties to move quickly.
And BBC Scotland has learned that several parties have already declared an interest.
As the SFL looks for a broadcast partner, its counterpart at the Scottish Premier League continues negotiations over its own television and radio deals.
SPL chief executive Neil Doncaster has spent the last 48 hours in talks with Sky and ESPN discussing what they are willing to pay for a top league without Rangers. One thing for sure is - it will be considerably less than it was before..