"I have not said anything (about going to RS) and if somebody offers me this suggestion I will think about it. But it is natural, I think, that if I had to consider it I would have done it earlier," Advani told reporters after unfurling national flag at his residence.
Asked if he would fight the Lok Sabha elections, he said, "this is what in my mind".
Advani, who represents Gandhinagar from Gujarat in the Lok Sabha, had opposed Modi's elevation and, though, he showered praise on him during the party's recent National Council meeting, many Modi supporters remain wary of the veteran leader's moves.
On President Pranab Mukherjee's Republic Day-eve speech, Advani said it was "significant" that Mukherjee found it imperative to speak against "populist anarchy" in his address to the nation yesterday. The BJP leader, however, declined to comment any further.
Mukherjee's remarks were seen as a dig at the AAP government in Delhi whose Chief Minister Arvind Kejriwal had launched a dharna outside Rail Bhawan to press for action against some police officials. He later withdrew it after his demands were partially met.
The BJP leader also agreed with Mukherjee's appeal against a fractured mandate and said he hoped that the country would have a government with a complete majority after elections.