Do you think Russia will close its border as people try to flee?

It was reported that over 6400 Russians travelled to Finland by land on Thursday, and all flights leaving the country are fully booked for the next week.

One man was interviewed stating he left his heavily pregnant wife with her family and left the day after he received his conscription notice. I believe this would be considered desertion, so basically he must leave and never come back. I would also assume he could be putting his family at risk.

Do you think Russia will try to stem the tide? I was actually unaware that Russian citizens were so free to travel.