He, however, said the final call on the issue would be taken by BJD president and Chief Minister Naveen Patnaik.
Rout made these remarks when asked by mediapersons about his party's position in the context of the political situation in Gujarat ahead of its upcoming Assembly elections.
"The Congress is a secular party like us. On the other hand, we have an ideological difference with the BJP. All anti-BJP and anti-communal political outfits should now come together," he said.
The BJD leader said the Congress should submit a list of Assembly segments where they are confident of winning.
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Earlier, BJD's Parliamentary Party leader in the Lok Sabha Bhartuhari Mahtab had also made a similar statement favouring a tie-up with the Congress. However, Mahatab's suggestion was then rejected by Patnaik.
Mahtab had said the Congress should no more be considered as an "untouchable" party for the BJD under the changed political situation.
"As of now, we are fighting against both the BJD and the BJP in Odisha," he said here.
Leader of Opposition in Odisha Assembly and senior Congress leader Narasingha Mishra said, "The proposal of a tie-up with us should come from the BJD president."
"No matter what they do, two zeros cannot make a hero," he said.