"We are counting on an influx in investment and trade growth, as well as cooperation in research and development projects in a variety of fields," Arkady Dvorkovich told a news briefing for foreign reporters in Moscow.
He said Moscow hoped that improved ties would also improve societal relations between Russia and the U.S. and that "our people will have more opportunities for closer contacts at all levels."
Asked what concessions Russia was prepared to give the U.S., Dvorkovich said "there should be no concessions but a search for mutually beneficial solutions."
He added that in this context, trust was of paramount importance.
"When you trust your partner, a lower-cost and more effective solution can be found in any sphere," he said.
Russian President Dmitry Medvedev and his U.S. counterpart Barack Obama are to meet on April 1 on the sidelines of a G20 summit in London.
Medvedev earlier said Russia was counting on a "reset," referring to the "symbolic" term used at a meeting between both countries' foreign ministers earlier this month.
Relations between Russia and the United States have been strained over Washington's plans to deploy missile bases in Europe, NATO's expansion, and last year's war in Georgia.
Russia has expressed hope for improved ties with Obama, who has said he may put the missile shield plans on hold. Russia and the U.S. earlier agreed to start talks on a new version of the START nuclear arms reduction treaty, which expires in December.