He also pointed to the ongoing judicial and Lokayukta probe into the alleged scams.
"And I hope you will not be impatient like the governor (H R Bhardwaj) and you will wait for the results to come which are sooner than later," he said.
Gadkari said in China on Saturday that Yeddyurappa had not committed any "illegal act" in allotment of plots even though denotifying land in favour of his son was "immoral" and "not proper."
Javadekar urged the media to "wait for the results of the enquiry to come". "Then we can discuss that issue (whether the chief minister should quit)," he said.
Asked how long the media would have to wait (for the results), he said, "I think not more than one month."
Javadekar's comments come at a time when there is speculation in some quarters that the chief minister might recommend dissolution of the Assembly after presenting the budget in the third week of February.
The senior BJP leader declined to name the person who was conducting the in-house enquiry, saying, "we will come out with final report. And in the report you will get everything".
He also refused to give a time-frame for the in-house enquiry.