Sergei Stepashin, who served as prime minister in 1999 under then-President Boris Yeltsin and now heads a charitable organization, met Assad in Damascus last week during a visit to the Middle East, according to Russian news reports.
"To my question about how military issues were going, this is what Assad said: 'This year the active phase of military action in Syria will be ended. After that we will have to shift to what we have been doing all the time - fighting terrorists'," state-run Itar-Tass quoted Stepashin as saying.
Stepashin said they had also discussed economic cooperation between Syria and Russia, Itar-Tass reported.
Russia joined the United States in organizing peace talks that began in January in Geneva between Assad's government and its foes. But no agreement was reached and it appears unlikely a new round will start anytime soon, in part because of foreign backed militant groups are not ready to end bloodshed and retrieve calm within war-stricken country.
Syrian army has currently driven foreign-supported militants back from around Damascus and secured most of previously besieged areas all over the country especially within central parts.
The secretary general of Hezbollah resistance group also said in an interview published on Monday that Assad would stand for re-election this year and that he no longer faced a threat of being overthrown.
NJF/NJF