Dens Park (l) and Tannadice Park are just yards apart in Dundee
Stephen Thompson admits it is unlikely Dundee United will take legal action against the SPL after their home game with Aberdeen was changed.
The United chairman was considering seeking advice about compensation after the match date was moved from Saturday 9 May to the preceding Thursday.
"We're one of the shareholders of the league so we'd probably have to sue ourselves," Thompson told BBC Scotland.
"So I don't think we'd be able to take things further."
Aberdeen's visit was rescheduled as it clashed with Dundee's final First Division match of the season against Partick Thistle at Dens Park.
The SPL brought Dundee United's match forward - a move the Arabs claimed could cost them a six-figure sum in lost revenue.
The Tannadice club say it was not until they notified the league of the clash that action was taken.
However, Thompson insists that the next time there is a fixture conflict between the two Dundee teams, United will not become involved.
"I'm sure this will rear its head again. As far as I'm concerned at Dundee United next time there'll be no conversation between the clubs," he said.
"It'll be thrown right back at the SPL and they'll have to sort it with the Scottish Football League."
Club director Derek Robertson said it was "hugely disappointing" that their biggest match of the season had been moved to a midweek evening.
With five games to play in the SPL, Dundee United are in fourth position, five behind third-placed Hearts but a point ahead of Aberdeen as they attempt to secure a Europa League berth for next season.
The United board were keen to benefit from a packed Tannadice for the visit of their so-called New Firm rivals on the Saturday, with the match scheduled for a 1500 BST kick-off.
It was Dundee's turn, their general manager Jim Thomson admitted to BBC Scotland, to honour a gentleman's agreement to move their match should such a fixture clash arise.
However, Thomson insisted that it was not realistic to expect Dundee to move their match at two weeks' notice.
"This is a mistake on behalf of the SPL," said Thomson on Monday. "They have had ample time to consider this. Our hospitality is chock-a-block on that day. We've taken people's money and cannot change that now."
But the SPL's decision angered Robertson.
"It's amazing the SPL can't change fixtures but could factor in a rugby match for Hearts and Hibs, a fun run in Glasgow for the Old Firm, yet were unable to recognise that two clubs in the same city were playing a game on the same day," he told BBC Scotland.
"The fixture list for Dundee was published in June. It's not exactly rocket science."
A statement on the official Dundee United website said: "Dundee United are hugely disappointed at the way this matter has been handled, with no cognisance taken of the situation within the city of Dundee when the fixtures were compiled.
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