The former prime minister said an 'interesting situation' would emerge under a Sir Keir Starmer - who has repeatedly ruled out rejoining the EU.
The culture secretary's behaviour came during a debate on whether MPs have confidence in Boris Johnson's government.
The culture secretary clashed with SNP MP John Nicolson at a culture, media, and sport select committee meeting.
The MP and former nurse said the true outlook of lockdown life has not been reflected by negative media reports.
The health minister appeared to suggest that restrictions to stop the spread of COVID-19 could be in place for several months.
The Italian Embassy has accused Nadine Dorries of spreading fake news after she tweeted that Italy had stopped intubating patients over 60.
MPs proclaimed Parliament had "taken back control" of the Brexit process by ensuring a "meaningful vote" on the withdrawal deal.