Liverpool secured back-to-back Premier League wins thanks to Darwin Nunez and Alisson Becker.
Uruguay forward Darwin planted home a fine header from a Kostas Tsimikas cross midway through the first half for his first Anfield goal, settling nerves after an even start.
The former Benfica man smashed an effort off the post as Liverpool searched for a second, and the Reds then had Alisson to thank for a penalty save from Jarrod Bowen just before half-time.