Tomorrow is the last date for filing nominations for the post and the election is slated to be held on August 21.
Kurien, who represents Kerala in the Upper House, has been nominated to contest for the election, party sources said.
The ruling Congress has a comfortable majority with support from the SP and the BSP.
The Opposition BJP wants to contest the election and is in touch with other parties, but the Left parties, including CPI(M), are not in favour of supporting a BJP-sponsored candidate.