The rouble had fallen over 2 percent against the dollar early on Wednesday, the first day after a long holiday weekend during which the oil price had slid, but a recovery in oil later in the day reversed most of the rouble's losses.
Oil and the rouble were boosted by weekly US government data showing a continuing decline in US output.
On Thursday Brent crude oil, a global benchmark for Russia's main export, was up 2.2 percent at $45.6 a barrel.
MFK Broker analyst Alexander Grichenkov predicted in a note that Brent would consolidate in the range $44-47 a barrel, corresponding with a rouble value of 65.5-67.5 against the dollar.
Russian share indexes were mixed.
The dollar-denominated RTS index was up 0.2 percent to 915 points, while the rouble-based MICEX was 0.5 percent lower at 1,916 points.