Putin has been in power as president or prime minister since the turn of the century, making him the longest-serving Kremlin leader since Josef Stalin, Reuters reported.
Russia passed reforms last year allowing him to run for two more six-year terms, without which he would have had to step down in 2024.
Speaking at an investment forum in Moscow, the Kremlin leader suggested that the very option of him being able to run for president again had stopped the political system being undermined.
"Whether or not I do this is yet to be decided, but the very existence of this right (to run) is already stabilising the domestic political situation," he said.
The issue is highly sensitive for the Kremlin. Earlier this month it denounced as "absurd" meddling a resolution proposed by U.S. lawmakers to stop recognising Putin as president if he stays in power after 2024.