The Brewers beat League One United on penalties in the first round, before pulling off another shock, beating Leicester 4-2 yesterday.
Now, Robinson wants a Premier League team, preferably at home.
He told BBC Radio Derby: "You dream of getting a good draw at home and getting on the television or a draw away against a good team.
"In either instance you hope that you'll make a lot of money."
Since winning promotion to the Football League in 2009, Burton have never had a home draw in the League Cup.
The draw for the third round, which includes Premier League teams who play in Europe, takes place tomorrow evening.