"We are not going to discuss the matter immediately or rush to a decision on this," he said in reply to reporters' queries during his Cabinet briefing here.
Chandy's statement assumes significance as the exit of Kumar, the lone legislator of Kerala Congress (B), has fuelled speculation that a Congress nominee would soon be chosen to fill the berth left vacant by Kumar, who held important portfolios of Forest, Sports and Cinema.
Local media and political circles have been rife with speculation that Chandy might even go in for a major Cabinet reshuffle, keeping political and community equations in proper balance, setting an eye on the Lok Sabha polls due early next year.
Chandy rejected the charge of Opposition LDF that he had sought to shield Kumar by declining to act on his estranged wife Yamini's complaint, saying this was totally untrue.
"This approach went against moderation and propriety expected of a responsible political formation on matters like this. The Congress and UDF have always adopted a moderate approach whenever the rival side had to face situations like this," he said.
Earlier in the day, the Assembly witnessed noisy scenes with LDF disrupting the proceedings, demanding the resignation of Chandy over the Kumar issue.