A purported video of a submerged garden on the premises of the ivory-white marble mausoleum was doing the rounds on social media since Thursday after heavy rains.
Speaking at a rally in Madhya Pradesh's Harda on April 24, Modi praised Chouhan saying the two had served together in the party organisation and also as chief ministers.
Budhni fell vacant after Rajendra Singh (BJP) resigned to pave way for Chouhan's entry into the assembly.
Replying to a question in the state assembly, Deputy Chief Minister R R Patil said a similar law introduced in Tamil Nadu recently is being studied carefully.
The ruling BJP stole a march on the Congress on Friday by releasing its first list of 177 candidates for the assembly polls.
Congress General Secretary Digvijay Singh's younger brother Laxman, who is the party nominee from Vidisha constituency in Madhya Pradesh for the upcoming Lok Sabha polls, said he was hopeful of a victory against Bharatiya Janata Party stalwart Sushma Swaraj.
The three Independent MLAs who have announced their support to the BJP are Geeta Jain, Rajendra Raut and Ravi Rana.