Team Australia is likely to make a late decision on whether to play Dough Bollinger and Mike Hussey in the tour opener against India on Friday.
The duo joined the Australia squad on Wednesday after their Champions League T20 campaign for Chennai Super Kings in South Africa.
The duo's absence in due to their commitment in the Champions League T20 has disturbed the tourist's preparation ahead of the Test series but coach Nielsen said that he is willing to give them a chance to prove their mettle.
"They are a little bit behind time wise," Australia coach Tim Nielsen said ahead of the clash in Mohali.
"We will probably know more on Thursday morning. But at this moment, they have had a bat and a bowl, and at this stage we are pretty positive about them.
"If they are fit, they are more than likely to take their place in the team.
"We have to make the right decision, not only on their getting a spot, but [make sure] they are physically and mentally and technically right to play."
Nielsen denied Bollinger would not have had enough bowling in the shorter format to be ready for Test cricket, adding: "It's not as if he was sitting on a beach on his bum, he has been playing cricket.
"He has got some miles in his legs. However, he certainly hasn't had six, seven-over spells two or three times a day."
Peter George is likely to make a Test debut and fill in Bollinger's boot if the latter is ignored for the first Test.
"The thing we know him about him is that he runs in, he is consistent with his pace, and we like to think he is a bit like McGrath in his action and in the bounce he extracts," he added.
"He is not an express fast bowler, but he has got enough pace to make the ball bounce off a length.
"Most importantly he runs in all day to try the right thing for the captain. Given the opportunity he will do a very good job at Test level."
For the Indian camp, the news that Harbhajan has recovered and is likely to participate in the tour opener has come as a major boost for the whole camp.
Harbhajan, who has a terrific track record against the Australians, suffered a side strain earlier this week but was cleared to play after undergoing scans on Wednesday.