Richards, who has missed a month's worth of football with his hamstring injury, is a test for this week's blockbuster clash with Collingwood, while Johannisen is thought to still be 2-3 weeks away from returning to action.
Bulldogs Head of Sports Medicine Chris Bell shared the latest on Richards' recovery.
"Ed has continued to aggressively attack his rehabilitation following his hamstring injury," Bell told WesternBulldogs.com.au.
"On the weekend, he completed a match-type rehab session and pulled up really well.
"We will look to tick some final boxes with Ed this week before confirming if he returns to availability this weekend against the Pies or next Thursday against Sydney."
The 30-year-old Johannisen, also hamstrung, is said to be making significant strides, edging closer to an anticipated return.
"'JJ' has been incredibly professional and diligent during the recovery following his hamstring injury," Bell continued.
"He is starting to integrate into some football drills, and we are starting to progress him back towards running at his top-end speed.
"We won't be taking any risks with JJ, but if he continues to progress as we have planned, he will be a chance to return in the next 2-3 weeks."
In additional positive news, the Bulldogs announced they did not suffer any injuries at the senior or VFL levels on the weekend.
The Dogs host Collingwood at Marvel Stadium this Friday night.