Bedi, who joined the party on Thursday, herself had also given a broad hint that she would be BJP's chief ministerial candidate.
"So far there is no decision. The parliamentary board will take a final call," Singh told PTI.
He was replying to a question on the possibility of BJP projecting someone as chief ministerial candidate.
The two-time BJP President said the party sometimes projects its chief ministerial candidate and sometimes not.
Elections to 70-member Delhi assembly will be held on February 7.
The 12-member BJP parliamentary board include Prime Minister Narendra Modi, BJP President Amit Shah, Singh and Finance Minister Arun Jaitely besides others.
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