Weakness of dollar in the overseas market also boosted the rupee value.
Banks and exporters preferred to reduce their dollar position due to sustained foreign capital inflows into equity market.
The rupee resumed higher at 61.02 per dollar as against the last weekend's level of 61.19 the Interbank Foreign Exchange market and moved up further to 60.88 before quoting at 60.91 per dollar at 1000 hours.
It moved in a range of 61.02-60.88 per dollar during the late morning deals.
The US and European Union yesterday announced a round of sanctions against Russian officials.
US stocks ended higher with the Dow Jones Industrial Average gaining for the first time in six sessions.