The former Leeds and Everton man has scored four goals in his last three games to help bolster Town's survival hopes.
Beckford, 29, was given a standing ovation following Saturday's 3-0 win over Millwall and Robins wants him to give the supporters more goals to enjoy.
"The fans have been fantastic of late, and there was a real affinity between them and the team on Saturday," he told the Huddersfield Examiner.
"I appreciate goalscorers, and so do the supporters, and Jermaine and James Vaughan were great against Millwall.
"Jermaine can be frustrating at times because I know he has so much to offer and sometimes he doesn't do himself justice."
He added: "You will get a rapport with fans if you are scoring goals. You'll get the opposite if you aren't working hard and trying to get those goals."
- Sports & Recreation