Saturday's 0-0 draw at local rivals Southampton, during which Smith struck the post amid a dominant second-half performance that could have secured victory, also represented the Cherries' second clean sheet in succession.
After a poor start to the year that left Bournemouth at threat of relegation, they have improved since their resilience earned a 1-1 draw at Manchester United last month and they have now climbed up to 11th place.
Earlier on Saturday, Liverpool impressed in defeating Everton 3-1, but Smith has faith in the game plan they will take to Anfield.
"It's another tough game but we're going to go there with confidence; we're unbeaten in the last four games and we'll be looking to take that on," he told the club's official website.
"They've got quality players and the way they play is very good.
"We know that if we put them under pressure and don't give them time on the ball we can try and force them into mistakes, we're going there with a bit of confidence.
"We'll have Sunday off and then recover on Monday to prepare for Liverpool."
Read the full article on eurosport.co.uk: Bournemouth feeling confident ahead of Anfield trip - Adam Smith