After all, the two sides are 10 points apart in the table, and aside from a clash at Stamford Bridge on Sunday, probably won’t cross paths again for a while to come.
But according to a report from The Athletic, the 42-year-old’s sacking may just be a blessing in disguise for the Clarets.
The online publication suggest that Lampard had identified James Tarkowski as a potential summer transfer target as he looked to bolster his back-line in West London.
Tarkowski’s future at Burnley is far from assured, with the centre-back still yet to agree to a new deal with the club, and the lure of a side in the Champions League may have proved to be too much for him to resist.
It’s not hard to see why Lampard was attracted to the 28-year-old either.
So far this season, Tarkowski has made 80 clearances in the Premier League – the sixth-highest tally in the division, as per Whoscored.
He’s also made the ninth-highest amount of interceptions, and blocked the seventh-most number of shots.
If you’re looking for an old school, no-nonsense centre-half who knows the Premier League inside out, there are few better than Tarkowski.
Elsewhere, Burnley have been linked with a move for Nottingham Forest starlet Brennan Johnson.
Again, The Athletic are the source of this one, and they suggest that the Clarets have entered the race for the precocious 19-year-old, who is currently on loan at Lincoln City.
Sean Dyche’s men aren’t the only club chasing his services, however, with Leeds United and Brentford mentioned as potential suitors.
Johnson has hit five goals for the Imps already this season, and even drew congratulations from David Beckham after making his senior debut for Wales late last year.
The youngster looks to have a very bright future ahead of him, but if Burnley are to snap him up they may have to wait a while longer, with suggestions that Forest are eager for him to complete his campaign with Lincoln rather than making move this month.
Click and scroll through the pages below to check out the rest of today's Premier League gossip:
1. Mujica still waiting
Leeds United forward Rafa Mujica is still waiting to find out where he will be playing his football come the end of the transfer window. The 22-year-old is expected to cut his loan spell with Real Oviedo short this month, but as yet, has not received an update from his parent club as to where he will be moving to, if anywhere. (La Voz du Astorias) (Photo by Dean Mouhtaropoulos/Getty Images) Photo: Dean Mouhtaropoulos
2. Leeds and Burnley watch Johnson
Leeds United and Burnley are both keeping tabs on Nottingham Forest starlet Brennan Johnson. The 19-year-old has been in fine form during a loan spell with Lincoln City so far this season. (The Athletic) (Photo by Justin Setterfield/Getty Images) Photo: Justin Setterfield
3. Bournemouth make Ritchie move
Bournemouth have made a move to re-sign Newcastle United wide man Matt Ritchie. The Scot left the Cherries for St. James' Park in 2016. (Football Insider) (Photo by Julian Finney/Getty Images) Photo: Julian Finney
4. Newcastle make Nunes approach
Newcastle United have made an approach for Sporting Lisbon's Brazilian midfielder Matheus Nunes. Any potential deal would be an initial loan followed by an obligatory permanent transfer worth around £10 million. (O Jogo) (Photo by PATRICIA DE MELO MOREIRA/AFP via Getty Images) Photo: PATRICIA DE MELO MOREIRA