According to the Kremlin, Russian President Vladimir Putin is yet to decide on Russia's response to the sanctions bill.
"If US President Donald Trump signs the bill on expanding economic sanctions against Russia, we have a right to take retaliatory measures, including diplomatic ones," Dzhabarov said.
"We should not be afraid of any sanctions, we have to continue working on securing Russia's sustainable economic growth," Dzhabarov added.
France and Germany have so far spoken out against the bill that the US House passed overwhelmingly on Tuesday as one that adversely affects European industries while advancing US commercial interests.
Back in December, Russian President Vladimir Putin decided not to respond to sanctions imposed by the outgoing US administration and act in accordance with the ties built with the new US leadership.
Russian Foreign Minister Sergei Lavrov said earlier that Moscow would take retaliatory measures against Washington if the situation with Russia's diplomatic property in the United States was not resolved.