The centre argues that Dobbies has underestimated the amount of traffic that will be generated by the proposal to open in Inshes.
Tesco plans will see the business opening a large new store in a former Focus DIY outlet. The new store, adjoining Tesco’s supermarket, would be about 2.5km from Simpsons Garden Centre.
A Simpson's representative said the objection was against Tesco, rather than Dobbies.
Dobbies property director Stuart Wright said: "We have been considering Inverness for a long time and are very excited at the possibility of developing at Inshes.
"It is a strong retail destination and benefits from a long history of garden and home retail and we are delighted to work with the local authority to clarify any issues that need to be addressed."