Party leaders have called a meeting of the Congress Working Committee (CWC) on 10 May.
He was tested positive for COVID-19 on 22 April.
The newly elected MLAs will take oath on May 6 and 7.
BJP's national president JP Nadda will visit West Bengal on Tuesday.
TMC won 213 out of 292 seats in the West Bengal Assembly Elections.
The DMK alliance has been successful in winning 151 seats and the AIADMK alliance has won 70 seats.
Mamata Banerjee has urged the party workers not to hold any kind of victory procession due to the COVID-19 situation.
He was admitted to AIIMS on April 19 after being found coronavirus positive.
More than 84 lakh voters will decide the fate of 283 candidates today.
Eknath Gaikwad was the father of Maharashtra education minister Varsha Gaikwad.