The lower-league administrator is battling to get league reconstruction talks back on track after an SFL meeting last week broke up with its 30 members split over the timescale for change. But Longmuir has been accused by some club chairmen of pandering to Rangers after suggesting the Old Firm could enter colt teams in a new set-up.
But Longmuir told those who suggest he has been unduly influenced by Light Blues chief executive Green: "You obviously don't know me. I have been doing this job diligently before Rangers even came into the league.
"We were presented with a situation last year where we accommodated Rangers willingly and they have been a great addition. I deal with chairmen of all description throughout the 30 clubs and I can assure you they are a mixed bunch, all trying to take Scottish football forward.
"Some have different views on one thing, some have different views on the other. I have got to get everybody as aligned as possible, all on the basis of what is right for the game.
"We are getting there. There is some real momentum behind this change agenda. We need to iron out a few things but I don't think they will be insurmountable now and I think it will stand the game in good stead."
"The Rangers factor is as big as the factor for Annan, Peterhead, Queen's Park, Livingston, Dundee, Forfar - it is affecting the whole game. We need to get it sorted but we need to do it properly.
"Rangers have brought great awareness to the SFL. Their fans have gone round the country in great numbers. But I look after all 30 clubs in the SFL equally and have done since 2007, before Rangers came in. They are a welcome addition to the SFL but so are all the others. I have got to be mindful that my duty is to 30 clubs."
Despite being unable to vote as associate members, Rangers have been outspoken on the reconstruction process. Both Green and manager Ally McCoist have called for the Irn-Bru Third Division champions to be promoted to the 12-team middle division, rather than the 18-club basement league which would replace the current bottom two tiers.
But Longmuir said: "At the moment, Rangers are champions of Division Three, Queen of the South are champions of Division Two and there is a bit of a battle at the top of the First. I have got no mind to change anything in that promotion and relegation scenario."
- Sports & Recreation