Nasdaq-listed Infosys on Monday said it had agreed to buy the British consultancy for 407 million pounds ($753 million), in a deal that values Axon at 600 pence a share, a 19.4 percent premium over Friday's close of 502.5 pence.
Traders have said there were worries of a bidding war.
"In a service business, management commitment and backing of a deal is very important ... the management is fully backing (our) proposal," V. Balakrishnan said at an analyst meeting in Chennai.
"What will happen I don't know. We will wait and see, but I think we are better positioned because of all this," he said, but declined comment on whether Infosys will revise its offer price in case of a counter bid.
Altium Securities said in a note on Tuesday in London it believed there was room for a Counterbid closer to 700 pence.
Balakrishnan also said the global business environment was challenging, though pricing remained stable.
"There is still a lot of negative news coming from the environment ... (but) there is no dearth of opportunity."
"Our guidance, we should be able to achieve," he said.