When considering the concurrent use of Lipitor (atorvastatin) and other blood pressure (BP) medications, it is essential to be aware of potential interactions. According to the information provided, there are no direct contraindications between Lipitor and specific BP medications. However, there is a critical factor to consider when combining Lipitor with certain BP drugs: grapefruit juice consumption [1][2][3].

Grapefruit juice can interact with Lipitor and other medications metabolized by a group of enzymes called cytochrome P450 3A4 (CYP3A4) [2]. This interaction can lead to increased levels of the medication in the bloodstream, potentially causing adverse effects or exacerbating the intended therapeutic effect [2].

Specifically, the NHS states that "Grapefruit juice can increase the level of atorvastatin in your blood and should be avoided" [3]. Atorvastatin is the active ingredient in Lipitor [1].

Therefore, when taking Lipitor and any BP medication, it is crucial to avoid consuming grapefruit juice to prevent potential interactions and adverse effects [2][3]. Always consult a healthcare professional for personalized advice on medication use and potential interactions.

Sources:
[1] <https://www.drugpatentwatch.com/p/tradename/LIPITOR>
[2] <https://www.fda.gov/consumers/consumer-updates/grapefruit-juice-and-some-drugs-dont-mix>
[3] <https://www.nhs.uk/common-health-questions/medicines/does-grapefruit-affect-my-medicine/>