Lineen pointed to the 36-13 defeat at the hands of Heineken Cup semi-finalists Leinster as evidence his side can compete - but just need to be smarter, especially at the breakdown.
Glasgow led 13-8 midway through the first half and almost added another score through Scotland centre Graeme Morrison.
But Brian O'Driscoll's men repelled the drive and the Dubliners produced a terrific flurry to clinch the points.
Lineen said: "Leinster are masters of slowing the ball down, blocking, getting in the way unbelievable stuff but they do it really well and get away with it. We retaliate and we get binned; we are just not streetwise enough."