Goel had on Monday sought an early decision on the issue but remained non-committal on supporting Vardhan if the former health minister was named for the post.
Goel had met top brass of BJP including Rajnath Singh, Narendra Modi and Sushma Swaraj on Sunday and expressed his serious opposition to Vardhan's candidature, arguing nearly 10 opinion polls had projected him as the most popular face for BJP's chief ministerial candidate.
A number of Delhi BJP leaders have already conveyed to the party leadership that they should announce the candidature of Vardhan, saying he has wider acceptability among people, party leaders and workers.