Environment minister George Eustice was reported in late July as saying that there are "no plans to attempt a national eradication" because of the "prohibitively expensive" £1.5bn cost of eliminating Japanese knotweed across the UK.
Amenity Forum chairman Professor John Moverley said the media coverage could cause unnecessary alarm among homeowners and the general public.
Japanese knotweed "can still be effectively managed in a controlled manner and without prohibitive cost, providing there is early identification of the problem and the work is carried out by competent and professional treatment specialists", he added.
Moverley said the reports could overshadow the fact that professionals have actually achieved "significant success" in controlling the weed.
"The battle has not been lost and the last thing we want to see is landowners doing nothing because they feel they don't have an effective control method available to them."
David Layland, managing director of specialist operator Japanese Knotweed Control, agreed that the media coverage could potentially send out the wrong message.