Malcolm Bruce, the Lib Dem MP for Gordon, said he was sure his constituents would be "delighted" to have the chance to reject Alex Salmond at the next election.
''People in Gordon rejected the First Minister's independence plans overwhelmingly at the referendum," Bruce said.
''I am sure that they would be delighted to have the chance to reject him again in May. Bring it on.''
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The letter was signed by the CBI, British Chambers of Commerce, the EEF, the Institute of Directors and the Federation of Small Businesses.
A spokesperson said Rory Stewart's remarks were in line with the British government’s stated position.
The minister's intervention will come a week after Trump decertified the landmark agreement claiming it was not in the US national interest.