"What a player he has been this season for Leeds," said former England striker Chris Sutton on BBC Radio 5 Live.
"People doubted whether he could score goals at this level but he has done. I would give him a go for England. I really like him, he has proved a lot of people wrong this season."
England have three World Cup qualifiers at the end of March - at home against San Marino and Poland with an away game in Albania in between.
Bamford said he did not expect international recognition but it was nice to be talked about.
"If you had said that at the start of the season I would've brushed it off and said 'you're mad', but now people are talking about it," added the former England Under-21 forward.
"We have four or five strikers that have not been involved in the England squad many times and they are doing well so it will be interesting to see who gets called up."