Warriors are challenging at the top of the URC standings while Scarlets are currently in 13th place Scarlets, but Smith says the squad do not look at the table as a rule.
Speaking to the BBC, Smith said: "We've got an agreement here, we don't look at the table, not if we're at the bottom of it and not if we're at the top of it. No interest in focusing on who places where.
"We need to win and if we play well and we win then that will look after itself."
The last time Glasgow travelled to Parc y Scarlets was for the Challenge Cup semi-final last season where they came out on top in the 35-17 clash.
"Look, that scoreline is not a true reflection of the game," Smith said. "I think with 12 minutes to go, it was still very tight, within one score, so we ended up scoring in the last action of the game, which does make it look a little bit like we've won with ease, but it's not true.
"We know that they are a tough team at home, specifically. We've asked more from the boys this week, we have to be better at what we do this week.
"We have the capacity and we have the drive to do that, so I'm excited for the team go out there."
Warriors came back from 13-0 down to win 17-13 against Cardiff in awful conditions at Scotstoun last week. Many observers expected Glasgow to win comfortably with a bonus point but Smith says his team "must be realistic" given the stop-start nature of the season.
"There were lots of breaks, we played three games in six weeks which was a really stop-start affair with different players, different squads as a collective," Smith added.
"We didn't play any games in preparation [for last week] and we've got a big load of games coming or possible games coming in the next three months."