Scottish Premier League chairman Neil Doncaster's strategic plan, which includes plans for a 10-team top flight, is yet to convince. Following a meeting at Hampden Park last month, Kilmarnock chairman Michael Johnston claimed they were "well short" of the 11-1 majority needed for the reforms to go through.
Thompson has been one of the most outspoken dissenters and revealed pressure is being applied to back the proposals. He told STV: "There's been some heated debates around the SPL table in general meetings."
He added: "I've not been cornered in a boardroom so far, but there's been a few threats to those who haven't agreed to this package that has been put in front of us.
"But that's been said privately so I don't want to bring that out in the public domain and have a spat with those particular clubs. There's no point in that.
"One or two people have stuck their neck out on reconstruction as the way forward and people have said to others who are against it, 'Come up with other ideas'.
"It's not so much that as we don't believe the 10 is the way forward.
"Some people feel very strongly and people are entitled to their views, like I am entitled to my view."
Source: PA
Source: PA