Australia's leading batsman has been having intensive physio this week after his long-term back problem flared again during the Third Test in Mohali.
Clarke batted down the order at No.6 in obvious pain, scoring 18 on Monday in Mohali, and has unable to train so far this week.
"The team is training this afternoon so I'll head down with the team and try to do as much as I can," Clarke told reporters on the eve of the Delhi dead-rubber clash.
"Boxing Day Test this summer (against Sri Lanka), I was touch and go all the way up to the end until I passed the fitness Test.
"I've been touch and go a number of times but I've never missed a Test due to injury so I don't want this to be the first."
Clarke has battled a degenerative back complaint since the age of 17.
"The issue with my back is it can happen at any time," he said.
"It's about managing it as well as you can and, when you have an episode like this, have regular treatment - do all the right things to get yourself back to full fitness as soon as you can.
"At this stage, there is still doubt of me pulling up fit enough to play tomorrow."
Vice-captain Shane Watson, one of four players suspended from the Third Test for failing to complete a homework assignment on time, is the likely skipper if Clarke is ruled unfit.
India lead the four-match series three-nil.