The BBC defused a crisis over its sports coverage on Monday after it agreed to put presenter Gary Lineker back on air, but insiders at the broadcaster said the row over impartiality had weakened senior management.

Lineker, who presents the Match of the Day football show, was suspended by the BBC on Friday after it concluded he had breached its impartiality rules when he tweeted criticism of the government’s immigration policy.

Much of the BBC’s sports coverage was badly disrupted over the weekend after pundits and commentators refused to work in an expression of solidarity with Lineker.

To resolve the impasse, the BBC said on Monday it would review its social media guidance for journalists and presenters, with Lineker agreeing in the meantime to follow existing rules ahead of returning to Match of the Day this weekend.

Allies of BBC director-general Tim Davie said Lineker’s return with a commitment to abide by the rules was a good outcome, but senior executives claimed Davie had been weakened, with one saying he was “bruised” by the episode.

Labour had claimed the BBC bowed to pressure from the government to suspend Lineker, although Davie said this was not the case.

Davie made a renewed focus on political impartiality for BBC staff a priority after being appointed director-general in 2020, and oversaw the introduction of social media guidance.

[Tim Davie] screwed this all up. But he did realise it very fast and worked out he had to retreat rapidly

One senior BBC executive said: “One thing I’ll say for Tim is, yes, he screwed this all up. But he did realise it very fast and worked out he had to retreat rapidly.”

Steven Barnett, communications professor at Westminster university, said: “It clearly is a climbdown, and badly needed.”

Lineker said on Twitter he would “like to thank Tim Davie for his understanding during this difficult period. He has an almost impossible job keeping everybody happy, particularly in the area of impartiality”.

Davie apologised to audiences for the “difficult period” and said he “recognised” the “potential confusion caused by the grey areas of the BBC’s social media guidance”.

Davie said the review of the guidance, to be led by an independent figure, would have “a particular focus on how it applies to freelancers outside news and current affairs”.

Lineker has previously expressed the view that, as a freelance sports presenter, he was not covered by the strictest sections of the BBC impartiality rules.

While most BBC presenters outside the news divisions are not bound by the tight restrictions that apply to journalists, Lineker was deemed to be an exception: its rule book states that some contributors have “an additional responsibility to the BBC because of their profile”.

BBC insiders said Lineker, who was paid £1.35mn in 2021-22, is one of just a handful of presenters caught by this rule. One cited Claudia Winkleman and Graham Norton, who present BBC radio and TV light entertainment shows, as among the few others.

Richard Sambrook, a former director of BBC news who has been involved in reviewing parts of the BBC’s impartiality rules, said that it would be “reasonable” to relax the guidance for Lineker and accept that expert outsiders like him are “essentially external contributors rather than de facto BBC figures”.

But senior BBC figures have previously expressed reservations about such a move, with one involved in the Lineker saga saying: “If we give free rein [to people outside news divisions] . . . we’ll just have more rows.”

The Lineker saga has served to increase the focus on BBC chair Richard Sharp, a Conservative donor who has been under pressure following claims he helped Boris Johnson secure a guarantee on a loan shortly before the then prime minister recommended his appointment at the broadcaster.

Labour said the Lineker controversy showed up “how senior BBC decision-making is so susceptible to political influence” by the government. The opposition party said Sharp’s position was “increasingly untenable” as his political ties to the Tories made him unable to be an even-handed chair.

The Whitehall appointments watchdog is investigating how Sharp became BBC chair. He has denied wrongdoing.

Rishi Sunak, who once worked for Sharp at Goldman Sachs, distanced himself from his former boss. He told the BBC during a visit to California: “He was appointed before I was prime minister through an independent process.”