Hugo Swire considered following Baroness Warsi out of the Foreign Office in protest at Government policy on Gaza, it has been reported.
Channel 4 News named the Minister of State as the Government figure who had discussed resignation with Baroness Warsi, who quit in dramatic fashion on Tuesday by breaking the news on Twitter while Prime Minister David Cameron was on holiday.
Mr Swire denied he was ready to resign over Government policy on Gaza.
He said: "I want to be very clear – I have absolutely no intention of resigning whatsoever."
Lady Warsi's dramatic resignation, which apparently took the leadership by surprise, won praise from Lib Dems and Labour, but split opinion among Tory backbenchers.
In an interview with Channel 4 News, the peer branded the UK's policy on Gaza "mealy-mouthed" and "morally indefensible".