The Spaniard, who met with Liverpool's American owners Fenway Sports Group in the United States, returns from his holiday on Tuesday.
Whelan revealed: "We are having a meeting on Tuesday when he's going to put everything to me. He's very honest. He arrives back in the morning and we will get together in the afternoon."
However, Whelan insisted it is by no means certain the 38-year-old will accept the offer to take over at Anfield.
"I think Roberto has put his cards on the table and said 'If I'm going to Liverpool I want the following'," said the Wigan owner.
Martinez's managerial record
Jun 2009 - present - won 34, drawn 36, lost 57
Feb 2007 - Jun 2009 - won 63, drawn 37, lost 26
"Roberto has to run the football club from top to bottom. Without that I don't think he would go.
"I should not be saying how good Roberto is because I want to keep him. There's no question he's the best young manager in Europe."
Asked about the prospect of Martinez taking over at Liverpool, Reds skipper Steven Gerrard said: "We'll have to wait and see. It's news for me. I am aware Roberto Martinez has been speaking to the club. If he is the manager he has my support."
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