All three withdrew from global duty through injury and are unlikely to feature against Dundee on Saturday.
Rodgers is hoping to have most of the quintet back for next week's UEFA Champions League game at Bayern Munich. They've come through very, very well.
Sanofi invests over $200 million into flu vaccine production
It also covers the stages of pharmaceutical preparation such as filling, inspection and packaging, as well as quality control.
"They'll join the squad tomorrow for training and maybe Saturday is too soon for them but certainly Bayern Munich should be fine".
Captain Brown and fellow midfielder Armstrong both missed Scotland's World Cup qualifiers because of hamstring and calf injuries respectively, while central defender Simunovic had to sit out worldwide duty for Bosnia.
"So it was never an injury that was going to keep him out for a sustained period of time but he just felt something and stayed behind to get treatment".
Natural disaster in North Korea prompts nuclear test fears
According to the US Geological Survey, there isn't enough information to conclude the nature of the natural disaster yet. A 3.4 magnitude quake last month near the same location sparked fears there could have been another nuclear test.
Rodgers was named Scottish Premiership Manager of the Month for September after guiding Celtic to three wins and a draw.
He said: "We have confidence and no matter who we play we'll give 100% and try to get the result".
Having both players invovled would be a huge boost for Celtic.
Pink Badges are back for Breast Cancer Awareness month
CedarBridge students will today take to their feet to fight breast cancer a year after the death of teacher Janet LePage. A statement from the school said: It had gone undetected until it physically manifested itself as a lump.
"It makes me very satisfied that you can see the professionalism of the players, when they can be out the team for a few games, and for some players not even on the bench, but when they're asked to come in and play and perform they do that".