John Whittingdale, the Conservative MP who chairs the Commons culture, media and sport committee, said that Morgan should return from the US, where he hosts a chatshow on CNN.
"Therese Coffey [a member of the committee] said he should come back to this country to answer questions and I think that is absolutely right. He certainly should," said Whittingdale.
Harriet Harman, Labour's deputy leader, yesterday said that Morgan had questions to answer, referring to his 2006 column in the Daily Mail in which he referred to a message left on a mobile phone belonging to Heather Mills.
This week, Mills told the BBC's Newsnight programme that a senior Mirror Group Newspapers editor had admitted to hacking a voicemail left for her by Sir Paul McCartney.
Harman said: "Hacking is a criminal offence and… every allegation has got to be thoroughly investigated by the police. We started off with just the News of the World…it's clearly been much more widespread than people have been prepared to admit."
Morgan, who edited The Mirror for ten years up to 2004, said in the Daily Mail article that he had heard a message left by Sir Paul on Mills's phone after the couple had an argument.
Sir Paul said that he intends to contact British police after he finishes his US tour, because "apparently I have been hacked".
Morgan has consistently denied that he had ever hacked a phone, or ordered another journalist to do so, or published a story obtained through the interception of voicemails.
In a statement issued through CNN, he responded to Mills's claims by pointing out that a high court judge had said that she was an unreliable witness.
Morgan said: "No doubt everyone will take this and other instances of somewhat extravagant claims by Ms Mills into account in assessing what credibility and platform her assertions are given."
Writing on Twitter yesterday, he added: "Morning all, lovely day in LA. Anything going on back home in UK? Seems a bit quiet over there…so heart-warming that everyone in UK's missing me so much they want me to come home."
Trinity Mirror, which also owns the Sunday Mirror, said in a statement: "All our journalists work within the criminal law and the PCC code of conduct and we have seen no evidence to suggest otherwise."
Meanwhile, the FBI has said that it is widening its investigation of News Corporation's activities within the US to cover whether allegations of hacking were part of a "larger pattern of behaviour", according to Time magazine.