Your cpu is not bottlenecking your GPU. Just set the MSAA to higher value to improve the GPU utilization
on a serious note, you CPU does limit the game perfromance. Either due to the game code or because something else in the system occupies CPU resources (antivirus, browser etc.).
Even with this limitation you are very close to 60FPS - what your monitor can display. It usually more disappointing when you have 30-40% unused GPU and frame rate far from what monitor can display (for example game running at 100FPS on 144Hz monitor with GPU usage 60-70%).
No let's assume that we have perfect scaling between GPU utilization and FPS. So on average it is loaded at ~70%. So by upgrading to an i7, you will gain about 30% more FPS in this game. it means that this game will mostly run at 60 or more FPS.
Up to you if it's worth the upgrade.