The election will be held on September 23 and the counting will take place on the same evening.
His win is all but certain due to the overwhelming majority the party enjoys in the state Assembly.
The counting of votes will be held on August 26 evening after the elections.
The bypolls in Gujarat will be held for the two vacant Rajya Sabha seats where the main opposition party is pitted against the ruling BJP in a straight fight.
Congress alleges the Rajya Sabha nominee has close business links with a few dubious mining companies in Odisha.
In the 182-member Gujarat Assembly, the BJP has 100 MLAs, Congress 71 while seven seats are vacant.
BJD chief Naveen Patnaik had announced his party's support to Vaishnav in the Odisha bypolls, which fuelled allegations from Congress of a 'deal' between the two warring parties.
However, the ECI has not announced election to the fourth Rajya Sabha seat which was vacated by BJD member Anubhav Mohanty who won from Kendrapara Lok Sabha seat.
According to a press note from the Election Commission, the filing of nominations will begin on June 18 and go on to June 25. The candidatures could be withdrawn up to June 28.