British Airways will re-enter talks with the British Airline Pilots’ Association (Balpa) on Friday.
Members of Balpa have rejected an offer of an 11.5% wage rise over three years.
But IAG boss Willie Walsh told the BBC: “I think the pay deal that has been offered is a fair deal.”
Earlier this week, BA lost a legal battle at the Court of Appeal to stop strike action after it filed an injunction.
The ruling cleared the way for Balpa members to walk out, potentially over the busy August period.
Mr Walsh told the BBC’s Today programme that he was hopeful a deal could be reached with union representatives.
“Clearly this is an issue for British Airways to deal with. Nobody wants the uncertainty that strike action delivers to the business,” he said.
“We’re working closely with the pilots union”.
Representatives of British Airways and Balpa met on Thursday and Friday and both sides have agreed to resume talks next week, the union said on Friday evening.
However, he indicated that the current pay offer – which has been accepted by unions Unite and GMB – was unlikely to change.
“British Airways has a responsibility to all of its employees in BA, I have a responsibility to all the employees right across the group, and I think the pay deal that has been offered is a fair deal.”
In results published on Friday, IAG said BA would “vigorously defend itself” against a record £183m fine imposed by the Information Commissioner’s Office (ICO) following a major data breach last year.
BA was penalised after it emerged that users of its website were diverted to a fraudulent site where data from around 500,000 customers were harvested by hackers.
However, IAG denied British Airways failed to comply with its obligations under General Data Protection Regulation and the UK Data Protection Act and would therefore use “all available appeal routes” against the ICO fine.
For the first half of the year, IAG reported a 7.2% rise in sales to €12bn (£10.9bn) while pre-tax profits dropped to €1bn from €1.6bn.
Shares in IAG rose 3.4% in early stock market trading.