The BBC reports that Tesco would back possible legislation to adopt "responsible pricing" for alcohol products as part of wider measures to address the UK's binge drinking culture, particularly among young adults.
Under competition laws, supermarkets cannot collude to change alcohol prices, and would need government assistance if the national retail price of alcohol were to change.
The announcement follows intense criticism from some MPs in the last year that supermarket chains were fuelling a binge-drinking culture in the UK by selling alcohol at very low prices.
The Department of Health outlined possible measures last month to stop the sale of cheap alcohol, including legislation if it proved necessary.
Lucy Neville-Rolfe, executive director for corporate and legal affairs at Tesco, told the Daily Telegraph: "Supermarkets do sell a lot of alcohol and we accept that we have a role to play in addressing the problem of anti-social drinking."
"We can't put up our prices because people will simply shop elsewhere -- it could be commercial suicide -- and we can't act together to put up prices because that would be against competition law.
"Supermarkets are not allowed to act together to put up prices because that would be bad for the consumer."
Her remarks follow criticism levelled at Tesco last summer, when John Grogan, Labour MP for Selby, described Sir Terence Leahy, chief executive of Tesco, as "the godfather of British binge drinking". Tesco responded that Grogan's remarks were "offensive and inaccurate".
Similarly, MPs criticised Tesco, Sainsbury's, Asda and Morrisons last summer for selling alcohol for less than bottled water.
Last month the Department for Children, Schools and Families launched its first marketing campaign aimed at tackling underage binge drinking.