When Russia seized Crimea in 2014, President Vladimir V. Putin was so worried about Russian casualty figures coming to light that authorities accosted journalists who tried to cover funerals of some of the 400 troops killed during that one-month campaign.

But Moscow may be losing that many soldiers daily in Mr. Putin’s latest invasion of Ukraine, American and European officials said. The mounting toll for Russian troops exposes a potential weakness for the Russian president at a time when he is still claiming, publicly, that he is engaged only in a limited military operation in Ukraine’s separatist east…

Neither side’s claims have been independently verified, and Biden administration officials have refused to discuss casualty figures publicly. But one American official put the Russian losses as of Monday at 2,000, an estimate with which two European officials concurred…

For Mr. Putin, the rising death toll could damage any remaining domestic support for his Ukrainian endeavors. Russian memories are long — and mothers of soldiers, in particular, American officials say, could easily hark back to the 15,000 troops killed when the Soviet Union invaded and occupied Afghanistan, or the thousands killed in Chechnya.