The Italians may be at the bottom of the table, but their victory over Edinburgh at the weekend proved they have not stopped scrapping for points. Welsh stressed the Warriors will be treating them as just as big a threat as the top teams when they pitch up at Scotstoun on Friday.
He delivered his verdict as he looked back on Glasgow's tension-packed victory over play-off race rivals the Ospreys.
Other results also proved favourable as third-place Ulster stumbled at Cardiff and pacesetters Leinster edged out Munster in the big Irish showdown in Dublin.
"We might be rated favourites to beat Treviso, but we will not be changing our approach," he said. "We go into every match exactly the same way, especially at this stage of the season because every fixture is an absolute battle. The Scarlets were tough - and the Ospreys even tougher - and we expect the challenges to get harder and harder. There is no way we will be treating Treviso any more lightly than them."
Despite his notes of caution, Welsh agreed that the Warriors will look on the tussle as a chance to boost their bonus-point tally, which lags behind the other main play-off contenders.
It had been burst of two tries in quick succession that paved the way for Treviso to end their losing run with that 20-16 defeat of Edinburgh - only a last-gasp score by Cornell Du Preez put a kinder complexion on the scoreline for the capital side.
Tobias Botes had fired Treviso ahead with a simple 35-metre penalty during their first raid.
Edinburgh had the bulk of possession and territory until the interval, but they still tarnished the good work with carelessness and a lack of penetration. But they were able to break their duck, at least, when Carl Bezuidenhout slotted two penalties.
Du Preez should have set up an Edinburgh try, but greed got the better of him. He had two men free on the outside following a trademark gallop from Dave Denton, but he opted to go for the line on his own and was hauled down. Bezuidenhout spared some of the blushes by completing his penalty treble.
Treviso looked the more urgent side after the restart and they pinned Edinburgh back in their own danger zone. And they were rewarded with another easy strike from Botes, which narrowed the gap to three. They rubbed in their superiority when hooker Leonardo Ghiraldini pranced along for 30 metres, brushing off three challenges. And even worse was to come, as prop Alberto De Marchi burst through, Botes converting both.
n Stevie Gemmell, the Scotland 7s coach, hailed his side's finishing skills as they bounced back to claim the consolation Bowl at the Hong Kong leg of the World Series. He believes their display will act as the ideal confidence boost ahead of their own event at Scotstoun in May. "We were clinical and played some good rugby, managing to beat three quality teams that are all ranked above us. This will give us some confidence going into the Glasgow tournament in six weeks and it demonstrates what we're capable of. We still want to be a top eight team, so we must push on and strive for more consistency."
New Zealand beat England in the final 26-7.