"American soccer fans are saying David Beckham has given a lot but he has also taken a tremendous amount out of Major League Soccer," Lalas told BBC 5 live.
Meanwhile, Blackburn owners, The Venky Group, have said the club are "open whenever [Beckham] is ready to come".
The Chair of Venkys, Anuradha Desai, revealed that attempts had previously been made to link up with Beckham.
Lalas, though, feels that former England skipper Beckham may be persuaded to stay at the Galaxy after his club-mate Landon Donovan ruled out a loan move.
The Galaxy begin their season on 15 March against Seattle and Beckham has previously used the 2009 and 2010 close-season breaks to play on loan at AC Milan.
Lets take chance I say
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The midfielder's second spell with the Italian side came to an early end when
he suffered an Achilles tendon injury playing against Chievo in March.
A subsequent six-month lay-off ruled Beckham out of the World Cup in South Africa.
He was also a marginal figure in the Galaxy's run to the final of the Eastern Conference, starting only five regular-season matches.
Lalas believes without the motivation of trying to force his way into England's squad for a major tournament, a third loan move for Beckham would be less sympathetically received in America.
"The reason David Beckham went over to Milan was to prepare, in theory for the World Cup," he added.
"I think that was commendable and understandable to a certain extent but now it is happening once again."
Beckham
was jeered by a section of LA Galaxy fans
on his return for his first loan spell in 2009 while some fans have
reacted angrily to the prospect of losing their star once again.
Donovan, who spent spells at Everton and AC Milan in 2009 and 2010 respectively, has said he would not take up any similar offers this year.
"I have been playing nearly non-stop for the past two years and I believe that this decision will allow me to perform at my best for the Galaxy,"
he said in December.
"When Landon Donovan comes out and says that it certainly puts pressure on David Beckham," added Lalas.
Donovan, who is the United States' leading goalscorer,
criticised Beckham's commitment to his American employers
after his first loan spell at AC Milan was extended in a 'timeshare' deal between the two clubs.
"At a minimum, you should bust your ass every day and that hasn't happened," he said in a book called 'The Beckham Experiment'.
Beckham
described Donovan's comments as 'unprofessional'
but the pair were reconciled after talks with coach Bruce Arena.
Source: BBC Sport
Source: BBC Sport