"I believe the recommendation will be for at least three weeks, or even longer," Veryga told reporters.
"Given that there will be a change of government and knowing that until things get moving, decisions will have to be made very quickly, we may recommend even a longer period," he added.
The minister said the situation in healthcare establishments remains tense, but it is gradually stabilizing as new hospitalizations are on a downward trend.
"We no longer have so many hospitalizations and the situation becomes more manageable. We regard it as is a kind of stabilization," he said.
Veryga noted, however, that the situation is not good, because some scheduled healthcare services remain suspended.
"It remains difficult and tense, but at least it is not getting worse," he said.
Lithuania was placed under a second lockdown on November 7 amid spiking coronavirus infections.
The measure, in effect through November 29, includes mandatory wearing of facemasks for everyone aged over six years in all public spaces and a ban on all events and gatherings, except for high-performance sporting events without spectators.
Restaurants, bars and cafes are only allowed to serve food for take-away or delivery, and gyms, pools, SPA centers, museums, cinemas and theaters are closed.
Certain restrictions also apply to healthcare services, retail operations, schools and public transport.