Pompey begin their defence of the Leasing.com Trophy with a group match against Crawley on Tuesday.
And Kenny Jackett’s side are the 2/5 favourites with Sky Bet to claim a maximum haul of points at Fratton Park.
The visitors – who are currently sitting eighth in League Two – can be backed at 11/2, with the draw at 16/5.
Pompey triumphed 1-0 when the sides met in the same competition last season and a repeat of that scenario carries odds of 6/1.
Punters might instead prefer to put their money on a 2-1 win at 13/2 or even a comfortable 4-0 success at 14/1.
Interested in the corners market? It is 3/1 for both sides having five or more corners or 16/1 for seven-plus flag-kicks each.
Or if you reckon it will be a bad-tempered affair then take a look for the 66/1 on offer for the hosts and visitors to be reduced to 10 men.
John Marquis is the 14/5 favourite to net the opener, ahead of fellow strikers Ellis Harrison at 7/2 and Brett Pitman at 4/1.
Elsewhere in the first goalscorer market, Gareth Evans, Andy Cannon and James Bolton are available at 5/1, 16/1 and 28/1 respectively.
Those who believe the Blues will be lifting the trophy for a second season in succession should note they are the joint 12/1 second favourites.
Please gamble responsibly and remember that all odds are subject to change. When the fun stops, stop.
Visit Sky Bet for more great offers and promotions and use this link when you bet to also earn money for Pompey.
Please note that in-stadium betting is no longer available at Fratton Park.