More broadly, Sir Richard said Russia was "the most pressing threat right now" to Europe.
"The illegal invasion of Ukraine has shown the barbaric nature of Russia's war efforts," he told the programme.
He added that sabotage and killings had been carried out by Russia on UK soil, and that so-called hybrid warfare is where "we [The UK] need to strengthen ourselves".
The shadow defence secretary welcomed the move, saying there was "a heightened threat environment" and a key part of deterring threats was "by acting with other countries through Nato". But James Cartlidge also criticised the government's approach to increasing defence spending, saying more urgency was needed.
In spring, the government announced defence spending would rise to 2.5% of GDP from April 2027, with an ambition to reach 3% in the next parliament.
Sir Richard said the funding was "more than I've ever known in my career".
In recent months, a number of drone sightings have caused major flight disruptions across Europe, including in Sweden, Norway and Denmark.
Despite some officials blaming "hybrid warfare" by Russia, the Kremlin has denied any involvement.
Pistorious has suggested the latest sightings could be linked to European Union discussions to use frozen Russian assets to support Ukraine in the form of a €140bn loan.
While there is no public proof of Russia's involvement, suspicions have been fuelled by more serious airspace incursions by Russia in Eastern Europe over recent months, involving fighter jets and larger attack drones.
The UK has recently sent RAF Typhoon jets to take part in defence missions over Poland as part of Nato's mission to bolster the eastern flank in response to incursions.