The left-hander smashed an unbeaten 138 off 78 balls at Rajkot on Friday as India hammered the tourists by 158 runs to take the lead in the seven-match series.
Yuvraj, who batted with a runner after pulling a back muscle in the early part of his innings, missed training on Sunday ahead of the second game.
"There is considerable improvement in Yuvraj's condition, but we will take a final call on him before the match," Indian captain Mahendra Dhoni told reporters.
India may once again have to do without in-form seamer Ishant Sharma, who missed the Rajkot match due to an ankle sprain suffered during the preceding Test series against world champions Australia.
Sharma, 20, was named the man of the series with 15 wickets in four Tests as India won 2-0 to take the Border-Gavaskar Trophy.
Dhoni said England will bounce back despite the heavy defeat and warned team-mates against being complacent.
"We are always wary of becoming complacent because, if we lose, we will be criticised that we were overconfident," the wicketkeeper-batsman said.
"We are always focused on what needs to be done. England have a very good bowling attack and they are a good side. It's a much better attack than what they had two years ago. We are certainly not taking them lightly."
England are unlikely to call up left-arm seamer Ryan Sidebottom, who missed the first match due to an Achilles problem, even though his fitness had improved.
"If it is a risk we won't do it, but I just feel it's a little bit early," England coach Peter Moores said.
"I have got to be advised by the medical team and he has certainly bowled very well in the nets with great control."
Moores was confident Kevin Pietersen's men were capable of turning the corner after suffering their third-biggest one-day defeat in Rajkot.
"We have had some knockbacks, but that's part of what international sport is about," the coach said.
"You are judged by how well you take those knockbacks and how you react to it as a team, and we're in that place at the moment.
"There is a long way to go in the series, still six games to go. We had a great one-day scrap with India in England a couple of years ago, when we won the first one quite convincingly and they bounced straight back.
"We would like to do the same."