It means the Bees must settle for second in League One, with Wolves eight points clear and only two games remaining.
Stevenage were relegated to League Two following Bristol City's comfortable 3-1 victory at Broadhall Way.
Goals from Wade Elliott, Sam Baldock and Stephen Pearson saw the Robins home and subsequently ended Boro's three-year stay in League One.
Rotherham stay third on goal difference after a 1-0 win over Port Vale.
The Millers were reduced to 10 men at the end of the first half when Richard Smallwood was sent off, but the home side rallied and substitute Kieran Agard sneaked a winner 11 minutes from time.
Preston's victory was more emphatic as they hammered struggling Shrewsbury 5-2 thanks to a second-half hat-trick from Paul Gallagher.
Lee Holmes and Bailey Wright put Preston 2-1 up at half-time with Shaun Miller pulling a goal back for the Shrews.
Gallagher's treble after the break, including one from the penalty spot, took the game away from the visitors, who added another via Luke Summerfield.
Peterborough are yet to confirm their place in the top six but took another step in the right direction with a convincing 4-1 win over Carlisle.
Two penalties from Britt Assombalonga as well as further goals from Conor Washington and Michael Bostwick sank Carlisle, who netted via Lee Miller.
Lee Cox's goal means Swindon keep the pressure on their play-off chasing rivals after a 1-0 win over Bradford.
Jimmy Spencer's goal proved decisive as Notts County boosted their chances of survival with a 1-0 win at home to Crawley.
Notts gained ground on both Crewe and Tranmere, who were held to goalless draws against Colchester and Sheffield United respectively.
Oldham, who are already safe, were also held to a 0-0 draw at home to Coventry while Walsall drew 1-1 against Gillingham.
Febian Brandy gave the Saddlers the lead early in the second half, but Gillingham ensured they went home with a point thanks to Cody McDonald's equaliser six minutes from time.
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