President Obama held an hour-long phone conversation with Putin.
A few conservative Republicans had looked to Putin as a kindred spirit.
The former national security adviser says Russia is "vulnerable" to sanctions.
The White House on Thursday moved to impose economic sanctions and visa restrictions.
Resolution by the House Foreign Affairs Committee denounces Russia's intervention in Crimea.
The Russian foreign minister called the decision to impose sanctions "unconstructive."
House members offered up a slew of stronger options.
'You don’t really have to talk about it. If you talk about it too much, you lose your credibility. And you have to be taken seriously,” said Marine Corps Gen. Jim Jones, who served as Obama’s national security adviser for two years.
House Foreign Affairs Committee Chairman Ed Royce (R-Calif.) jumped on a hearing with State and Treasury officials Thursday to press them to allow exports of natural gas to counter Russian influence in Eastern Europe.
The State Department accused Vladimir Putin of lying about the crisis in Ukraine.