Scotland's victory over Argentina came just days after the A side fell to a 22-21 opening-game IRB Nations defeat to Georgia.
And Lineen has called for his troops to take notice of the senior team and get back to winning ways against Namibia.
"The way the Scotland team played was outstanding," said Lineen. "They moved the ball well and defended outstandingly well and that is something we are looking to aspire to.
"Everyone's delighted with the senior team's brilliant victory in Argentina and that should inspire us against what is another World Cup outfit in Namibia.
"Namibia play an attacking brand of rugby so it will be a good game - there's no doubt about that."