Alan Pardew's side picked up a fourth straight Premier League win in November when Sissoko bounded onto Loic Remy's cushioned header to send an unstoppable shot sailing beyond Boaz Myhill from 30 yards out.
Newcastle had moved ahead on 36 minutes when Yoan Gouffran benefited from an awful mistake by Myhill to head into the empty net after the visiting goalkeeper had failed to punch clear a Yohan Cabaye corner.
Chris Brunt benefited from some slack defending to thrash a powerful drive into the net from Shane Long's header on 53 minutes, but Sissoko sealed it for the home side four minutes later with one of the goals of the season.
Newcastle are one point off second place having won all their league fixtures in November against Chelsea, Tottenham, Norwich and West Brom.
17' - REMY THREAT: Brilliant cross from Debuchy to pick out Remy in the centre, but his header comes back off a red shirt before spinning wide. So close to the opener.
36' - GOUFFRAN GOAL: Disaster for Myhill in the visiting goal. Failed to punch clear the corner and Gouffran rises highest to head into the net.
45+1' - OLSSON FORTUNATE: Olsson lucky to avoid a straight red card after being turned by Remy. Clear pull on the sleeve, and Remy was in on goal. But Phil Dowd didn't want to know.
53' - BRUNT BLOW: Brunt with a fine finish. Brilliant hit with his left foot from inside the home box. No chance for Krul in the Newcastle goal.
57' - SISSOKO STUNNER: Moussa Sissoko thumps a shot into the rigging from 30 yards out. What a glorious strike. Suddenly Newcastle lead 2-1. Magnificent stuff from Moussa Sissoko.
90+2' - MORE PENALTY APPEALS: Appeals for a handball against Jones after Cabaye thumped the shot at goal. Could have been a penalty. Hit his hand. Perhaps a bit fortunate to escape that decision.
Newcastle are unbeaten in their last four Premier League matches against West Brom, since a 3-2 defeat at St James’ Park in December 2011.
West Brom have still never won a Premier League match with a Saturday, 5.30pm kick-off (D1-L8).
Newcastle win four consecutive Premier League matches for the first time since between March and April 2012, when they were on a run of six Premier League victories in a row.
Of the top five European Leagues this season (England, France, Germany, Italy & Spain), only Lyon (20) have had more League goals scored by French players than Newcastle’s current total of 18.
An Englishman has not scored in the Premier League for Newcastle in the calendar year of 2013 (the last being James Perch on Dec 26th 2012). They could become the third PL team to go a whole year without a goal from an Englishman after Arsenal (in 2006 and 2007), and Fulham (in 2001).
Can Newcastle compete for the top four and a Champions League place? Newcastle manager Alan Pardew will play it down, but his side are a team in form and are obviously performing with real confidence. These look like good times for Newcastle.
MAN OF THE MATCH
Shola Ameobi (Newcastle) - Brings a lot to the table. Was a real handful for the visiting side in creating vital space for his team-mates to thrive.
Newcastle: Krul 7; Debuchy 7, Williamson 7, Coloccini 7, Santon 7; Sissoko 8, Tiote 7, Cabaye 7, Gouffran 7; Shola Ameobi 8, Remy 7.subs: Anita 6, Cisse 6.
West Brom: Myhill 5, Jones 6, McAuley 6, Olsson 6, Ridgewell 6, Morrison 6, Mulumbu 6, Amalfitano 6, Sessegnon 6, Brunt 6, Long 6...subs: Anichebe 6, Gera 6, Berahino 6.
THE MATCH IN A TWEET