Pecker is a key witness in the case against the former US president, who is accused of falsifying business records to cover up hush-money payment
Smith and Warner, who incurred 12-month bans for their parts in the tampering plot during a Cape Town test two years ago, were jeered relentlessly by English crowds during the one-day World Cup and the Ashes series last year.
Cricket South Africa's (CSA) interim chief executive Jacques Faul said fans who misbehaved would be ejected from venues during the limited overs series, which starts with a Twenty20 match in Johannesburg on Friday.
"I would plead with South African fans to respect our opponents and don't go overboard with these things," Faul told Fairfax media.
"It's competitive on the field, and we don't need it. Sport in general doesn't need that behaviour.
"We have a very strict policy in terms of fan behaviour and we will evacuate people but the damage will have been done."
Australia's 2018 tour of South Africa was tense on and off the field, and well before the tampering incident at Newlands.
Animosity between opener Warner and South Africa wicketkeeper-batsman Quinton de Kock spilled over into a heated stairwell confrontation during the first test in Durban, with team mates stepping in to separate the players.
Warner and his wife, Candice, were subsequently targeted by the crowds, and CSA apologised to the Australian team after two of the board's officials were photographed wearing Sonny Bill Williams masks with fans at the ground.
Candice Warner had a tryst with New Zealand rugby international Williams more than 10 years before the incident.
"What happened last time (in South Africa), the behaviour was unfortunate," said Faul, who stepped in as CEO in December following Thabang Moroe's suspension for alleged misconduct.
"It's embarrassing when it happens - for the stadium and the national federations.
"If there are best practices that we can learn from to prevent it we're happy to look at it."
Last month, England all-rounder Ben Stokes was fined by the International Cricket Council after a foul-mouthed row with a fan at the Wanderers ground during the fourth test in Johannesburg.
Stokes said he had been subjected to repeated abuse from the crowd and apologised for his "unprofessional" reaction.
Pecker is a key witness in the case against the former US president, who is accused of falsifying business records to cover up hush-money payment
The oil and gas conglomerate and Fifa, the world governing body, sign major sponsorship agreement
Toomaj Salehi risks being hanged after the conviction on the Shariah charge of "corruption on Earth" by a Revolutionary Court
Aid groups warn any invasion would add to already-catastrophic conditions for Gaza's 2.4 million people
The American they will face Australia and Serbia on July 15 and July 17 as part of their preparation for the Paris Olympic Games
The leaders emphasise that the deal to release the hostages would bring an immediate and prolonged ceasefire in Gaza
Dubai-based Sumit Augustine has had a philosophical approach towards spending
The regional upswing also defies oil production cutbacks