It's almost certainly just a simple lack of cable tension, but it doesn't hurt to check the FD setup while you're at it.
Drop the shifter to the low (small ring) position and have a feel at how slack the cable is along the underside of the frame. It should be reasonably firm, not flapping about in the breeze. Before playing with the cable, check the front derailleur alignment. First set the vertical clearance. There should only be about 1-2mm gap between the lower edge of the outer plate of the FD and the tips of the tallest teeth on the big chainring (they're not an even height; some are lower to create "gates" for the chain to go through during gear shifts). When that's good, set your lengthwise angle.
The derailleur should be parallel to the chainrings. Get this right while the clamp around the frame is loose from setting your vertical. When that's sorted, move onto the travel limits, starting with the inner limit. Shift the chain onto the low (big
) rear sprocket. There should only be the barest gap (0.5-1mm) between the chain and the inner side of the front derailleur cage. Wind the inboard adjustment screw in
(clockwise) to adjust the derailleur outward, wind the screw out
(anticlockwise) to let the derailleur move inward. Once that's happy, set your cable, ensuring it's routed into the clamp bolt correctly.
On the inboard side of the cable clamp bolt there is a a small tab on the FD body. The cable goes over this tab, then bends across the top of the bolt. If the cable is fed under the tab & over the bolt, the leverage goes out & the derailleur will not shift smoothly. With the cable routed correctly, pull it firm (you may need to use pliers to grip it sufficiently) and tighten the cable clamp bolt quite firmly. Shift the rear gears out to the top (small) sprocket, then shift the front up to the big ring. As with the low limit setting, there should only be 0.5-1mm gap between the chain and this time the outer plate of the FD. If the chain rubs, the way to test of it's the cable or the limit causing it is to pull the cable under the frame. If you can pull the derailleur away from the chain, then your cable tension is a bit low. let go your handful of cable, and use the barrel adjuster on the shifter, winding it out to increase the tension until you get that desired gap.
If pulling the extra handful of cable does not move the derailleur any further, wind the outboard limit screw out, while still pulling the cable until you can get that gap. Once that's good, you might need to fine-tune your cable tension as described above..
Run it through a couple of times to make sure it's shifting properly, then when it's good you're all set to go for a ride.