A planned strike by workers at Heathrow Airport on Monday was suspended to allow further talks to resolve the wage dispute.
Members of the union were to leave from one minute this past midnight to 48 hours.
The two sides met over the weekend under the chairmanship of the Akas Conciliation Service.
United said in a brief statement: "Tomorrow's strike by United members working for Heathrow Airport has been suspended to allow further talks in Akas tomorrow.
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"Presiding over the Akas Conciliation Service, tomorrow's talks will include senior executives at Heathrow Airport and senior United officials to prevent a second day of planned strike action set to begin at 12:01 pm and end. at 23:59 on Tuesday August 6th.
"United will not comment further while talks are under way."
Heathrow already canceled about 177 flights Monday and Tuesday, disrupting passengers.
But the extent of the disruption would be worse if Monday's strike was ahead.
Travelers are urged to check with their airline for the latest flight news.
Unite members, including security personnel, firefighters and engineers, have all voted against the pay offer, Heathrow said, worth 7.3% over two and a half years.
If you're traveling from Heathrow on Monday or Tuesday, here are some things to keep in mind, according to the UK Civil Aviation Authority: