"Many people asking me - "will i contest against Modi ji?" I will talk on this issue in today's rally at Bangalore," Kejriwal wrote in his post on the microblogging site Twitter.
His remarks came a day after the BJP announced its prime ministerial candidate Modi would contest the Varanasi seat in Uttar Pradesh.
The Aam Aadmi Party has hinted at a direct fight between Modi and Kejriwal in the 2014 polls.
Earlier, Pary leader Sanjay Singh had appealed to Kejriwal to contest against Modi from Varanasi.
Addressing a rally recently, senior leader Manish Sisodia had said that "we want the people of Varanasi to answer all the issues that Kejriwal has raised on (Mukesh) Ambani."
"Kejriwal will ask Modi these questions from Varanasi," Sisodia had said.
<blockquote class="twitter-tweet blockquote" lang="en"><p>Many people asking me - "will i contest against Modi ji?" I will talk on this issue in today's rally at Bangalore</p>— Arvind Kejriwal (@ArvindKejriwal) <a href="https://twitter.com/ArvindKejriwal/statuses/445088547637186561">March 16, 2014</a></blockquote> <script async src="//platform.twitter.com/widgets.js" charset="utf-8"></script>