Strikes by 4,000 Heathrow airport workers on Friday and Saturday have been called off so they can vote on a new pay offer.
The strikes would have hit flights on one of the busiest weekends of the summer.
The Unite union said it would not give details of the offer until members had considered it.
Two more 48-hour strikes from 5 August and 23 August are currently still on the cards.
Earlier in July, Heathrow staff rejected an 18-month pay rise offer averaging 2.7%.
At the time, the union said the workers were angry over pay rates, including different pay rates for the same job.
There was also disquiet over the pay package of airport boss John Holland-Kaye, who got £4.2m in 2018, up from £2.1m in 2017, mainly thanks to a long-term bonus scheme.
Separately, on Tuesday British Airways lost a legal bid to stop its pilots from going on strike over pay in the summer holiday season, but said it planned to appeal against the decision.
The pilots’ union has yet to set any dates for industrial action.
