Huddersfield took the lead against the 'Hammers', before Felipe Anderson eventually salvaged a point. However, Snodgrass says this is not goof enough.
"We want to be looking further forward and up the table, that's where we need to be looking," Snodgrass told 'Press Association Sport'.
"We need to win these games. No disrespect to Huddersfield, but we need to win them. We got the goal we deserved over the 90 minutes, but we must push forward and believe we can go and win it.
"We knew what to expect. We worked hard during the week (to prepare for) a team which pressed really well.
"They do that very well, but leave gaps in behind and we never exploited that enough. They're very good from set-pieces and long throws, that's what Huddersfield bring.
"But we shouldn't be shocked by that. That's how they got their victory against Fulham, they're a good side. It's up to us to regroup now. A point on the road, we'll take it and move forward."