Parrikar was sworn-in as Goa Chief Minister on March 14 this year. He has to get elected to the Assembly within six months of taking charge as the CM.
Parrikar resigned as the Defence Minister after the BJP formed the government in Goa following the assembly elections in February.
BJP legislators Siddharth Kuncolienkar (Panaji) and Nilesh Cabral (Curchorem), have volunteered to resign from their seats to pave way for Parrikar's entry in the House.
The BJP is yet to decide which constituency Parrikar will contest from.
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Kavlekar said Congress has a strong organisational set up in both the constituencies, adding, "Congress has able leaders who can take Parrikar head on."
He said all his legislators are united and have vowed to defeat Parrikar, whose party according to them, stole the mandate given to Congress by the people in the Assembly polls.
Congress had not fielded its candidate from Panaji constituency in the Assembly election and had extended support to United Goans' party nominee Atanasio Monserratte, who contested against BJP's Kuncolienkar, and lost.
The BJP is likely to meet this week to decide on the constituency from which Parrikar will contest the bypoll.