Speaking at a news conference in Abu Dhabi with United Arab Emirates Minister of Foreign Affairs Sheikh Abdullah bin Zayed Al Nahyan, Lavrov said he hoped Russia could discuss the issue with the US State Department once it had drawn up more detailed plans for the safe zones.
Lavrov said he did not think, from what he knew so far, that Trump was proposing to roll out safe zones in the same way as it had been done in Libya in 2011.
Trump, during his presidential campaign last year, had called for Persian Gulf states to pay for establishing safe zones to protect Syrian refugees.
Trump said last Wednesday he "will absolutely do safe zones in Syria" for refugees fleeing violence.