Cook the fettuccine according to package instructions.
In a large skillet, heat the olive oil over medium heat.
Add the minced garlic and sauté until fragrant, about 1 minute.
Stir in the cherry tomatoes and spinach, cooking until the tomatoes soften.
Pour in the heavy cream and bring to a simmer.
Add the lobster meat, Parmesan cheese, salt, and pepper.
Toss in the cooked fettuccine, combining thoroughly, and add reserved pasta water as needed.
Serve immediately, garnished with fresh basil.