Rosebud dishes served here, such as pappardelle, cavatelli, as well as signature martinis to round out your meal in perfect style. Located a block from Michigan Avenue you can't get much closer to the action than Rosebud on Rush. The coziest of the Rosebud restaurants, Rosebud on Rush serves 180 diners with a staff of professionals whose tenure runs five years or more. Close to Chicago's finest hotels and Michigan Avenue's Magnificent Mile, Rosebud on Rush attracts stars, convention-goers, and tourists alike.