The 2-1 victory over St Mirren at Ibrox allowed the Scottish champions to move one point ahead at the summit, with Celtic on Scottish Cup duty this weekend.
Rangers now prepare to travel to Dundee United on Tuesday knowing a win would mean heading into next weekend's crucial final Old Firm derby of the season ahead of their bitter rivals in the SPL.
But Smith refused to read too much into any points advantage his team may have when Celtic come calling at Ibrox.
He said: "Everybody keeps saying that but I don't think that's the case. It's fairly simple - if you are in our position you need to keep winning.
"That's what we have to try to do but we are used to it because it's a pressure the Old Firm have to handle all the time - not just at this stage of the season but all through the season. I don't go for all that psychological stuff. Once the games pan out we will see who is in pole position. For me, it's always fairly simple - just win."
Source: PA
Source: PA