A section of the All India Football Federation, besides critics, had been gunning for Constantine's head following a string of defeats, including at the hands of tiny pacific nation Guam, in the World Cup qualifiers.
But AIFF Secretary Kushal Das said they are not going to take any decision in a hurry.
"It is disappointing, no doubt about it. We must look into this in more detail. The technical committee will review the performance and then meet the executive committee," Das told PTI.
Das said the team must now try to qualify for the 2019 Asia Cup.
"There is still an opportunity for us to qualify for the Asian Cup. That is something we should try for, and that is our focus."
After a run of five straight losses in the World Cup qualifiers that also doubled up as Asian Cup qualification event, India finally tasted success when they exacted revenge for their away defeat with a 1-0 victory over Guam at home earlier this month.
